
Time bar (total: 17.6s)
| 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 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 34.4% | 34.3% | 65.5% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 47.5% | 44.5% | 49.1% | 0.1% | 0% | 6.2% | 0% | 8 |
| 54.7% | 49.9% | 41.3% | 0.1% | 0% | 8.6% | 0% | 9 |
| 61% | 52.9% | 33.7% | 0.1% | 0% | 13.3% | 0% | 10 |
| 67.4% | 57.8% | 28% | 0.1% | 0% | 14% | 0% | 11 |
| 72.5% | 60.5% | 23% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 42 to 21 computations (50% saved)
ival-mult: 46.0ms (38.9% of total)ival-sub: 14.0ms (11.9% of total)ival-div: 13.0ms (11% of total)ival-if: 10.0ms (8.5% of total)ival-sqrt: 10.0ms (8.5% of total)ival-neg: 10.0ms (8.5% of total)ival-add: 7.0ms (5.9% of total)ival->=: 5.0ms (4.2% of total)const: 3.0ms (2.5% of total)backward-pass: 1.0ms (0.8% of total)| 1.7s | 8256× | 0 | valid |
| 160.0ms | 928× | 0 | invalid |
ival-div: 587.0ms (41.2% of total)ival-mult: 384.0ms (26.9% of total)ival-sub: 102.0ms (7.2% of total)ival-add: 88.0ms (6.2% of total)ival-sqrt: 80.0ms (5.6% of total)ival-if: 62.0ms (4.4% of total)ival-neg: 61.0ms (4.3% of total)ival->=: 34.0ms (2.4% of total)const: 23.0ms (1.6% of total)backward-pass: 4.0ms (0.3% of total)| 2× | egg-herbie |
| 2294× | fnmadd-define |
| 1756× | fnmsub-define |
| 1618× | fmm-def |
| 1600× | fmsub-define |
| 1500× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 373 |
| 1 | 262 | 353 |
| 2 | 808 | 333 |
| 3 | 2280 | 325 |
| 4 | 7103 | 325 |
| 0 | 20 | 36 |
| 1 | 47 | 35 |
| 2 | 122 | 33 |
| 3 | 299 | 32 |
| 4 | 572 | 32 |
| 5 | 1211 | 32 |
| 6 | 3538 | 32 |
| 7 | 6267 | 32 |
| 8 | 7418 | 32 |
| 0 | 8039 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
| Outputs |
|---|
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| Inputs |
|---|
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))))) |
(if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))))) |
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))))) |
(neg (if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))))) |
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))))) |
(if (>= a 0) (/ (- (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) (/ (* 2 c) (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) (/ (* 2 a) (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))))) |
(if (>= c 0) (/ (- (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) (/ (* 2 b) (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))))) |
| Outputs |
|---|
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (fma a (* c -4) (square b)))) a)) (/ (* c 2) (- (sqrt (fma a (* c -4) (square b))) b))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))))) |
(if (>= b 0) (/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a 2)) (/ (* c 2) (- (sqrt (fma 4 (* a c) (square b))) b))) |
(if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))))) |
(if (>= (neg b) 0) (* -1/2 (/ (- (sqrt (fma a (* c -4) (square b))) b) a)) (/ (* c 2) (+ b (sqrt (fma a (* c -4) (square b)))))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))))) |
(if (>= b 0) (/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a -2)) (/ (* c 2) (- b (sqrt (fma 4 (* a c) (square b)))))) |
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))))) |
(neg (if (>= b 0) (/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a 2)) (/ (* c 2) (- (sqrt (fma 4 (* a c) (square b))) b)))) |
(neg (if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))))) |
(neg (if (>= (neg b) 0) (* -1/2 (/ (- (sqrt (fma a (* c -4) (square b))) b) a)) (/ (* c 2) (+ b (sqrt (fma a (* c -4) (square b))))))) |
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))))) |
(neg (if (>= b 0) (/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a -2)) (/ (* c 2) (- b (sqrt (fma 4 (* a c) (square b))))))) |
(if (>= a 0) (/ (- (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) (/ (* 2 c) (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))))) |
(if (>= a 0) (/ (+ a (sqrt (fma b (* c -4) (square a)))) (* b -2)) (/ (* c 2) (- (sqrt (fma b (* c -4) (square a))) a))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) (/ (* 2 a) (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (fma a (* c -4) (square b)))) c)) (/ (* a 2) (- (sqrt (fma a (* c -4) (square b))) b))) |
(if (>= c 0) (/ (- (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) (/ (* 2 b) (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))))) |
(if (>= c 0) (* -1/2 (/ (+ c (sqrt (fma b (* a -4) (square c)))) a)) (/ (* b -2) (- c (sqrt (fma b (* a -4) (square c)))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 96 | 0 | - | 1 | (-7.810171604751676e-287 1.0306401318788831e-156 -1.1314894613705544e-224) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 66 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 51 | 0 | - | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 13 | 0 | - | 3 | (2.898947341844854e-59 31488828100691616.0 1.1237781027266179e-244) | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
| 12 | 0 | - | 1 | (-9.266169713893082e-68 -5.701368250085437e+285 2.1709951925176794e+35) | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 3 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (>=.f64 b #s(literal 0 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) c) |
| 0 | 0 | - | 0 | - | a |
| 200.0ms | 216× | 2 | valid |
| 49.0ms | 98× | 1 | valid |
| 42.0ms | 192× | 0 | valid |
| 5.0ms | 6× | 3 | valid |
Compiled 339 to 62 computations (81.7% saved)
ival-mult: 58.0ms (37.5% of total)ival-sqrt: 24.0ms (15.5% of total)backward-pass: 23.0ms (14.9% of total)ival-sub: 14.0ms (9.1% of total)ival-div: 14.0ms (9.1% of total)ival-neg: 7.0ms (4.5% of total)ival-if: 6.0ms (3.9% of total)ival-add: 6.0ms (3.9% of total)const: 2.0ms (1.3% of total)ival->=: 2.0ms (1.3% of total)Compiled 39 to 20 computations (48.7% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
Compiled 39 to 20 computations (48.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| 1794× | fnmsub-define |
| 1794× | fmsub-define |
| 1784× | sum5-define |
| 1668× | fmm-def |
| 1566× | sum3-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 129 |
| 1 | 36 | 121 |
| 2 | 55 | 121 |
| 3 | 69 | 121 |
| 4 | 80 | 121 |
| 5 | 126 | 121 |
| 6 | 226 | 121 |
| 7 | 370 | 121 |
| 8 | 555 | 121 |
| 9 | 1060 | 121 |
| 10 | 2229 | 121 |
| 11 | 4462 | 121 |
| 12 | 7169 | 121 |
| 0 | 8071 | 121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(>= b 0) |
b |
0 |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
(* a -2) |
-2 |
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
(* c 2) |
2 |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
| Outputs |
|---|
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* c (* a -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
(* a -2) |
(*.f64 a #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(* c 2) |
(*.f64 c #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.4% | (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
| ✓ | accuracy | 81.7% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 77.4% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 65.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| 101.0ms | 108× | 2 | valid |
| 24.0ms | 96× | 0 | valid |
| 22.0ms | 49× | 1 | valid |
| 3.0ms | 3× | 3 | valid |
Compiled 142 to 21 computations (85.2% saved)
ival-mult: 39.0ms (48.2% of total)backward-pass: 12.0ms (14.8% of total)ival-sub: 8.0ms (9.9% of total)ival-div: 7.0ms (8.6% of total)ival-add: 5.0ms (6.2% of total)ival-sqrt: 5.0ms (6.2% of total)ival-if: 3.0ms (3.7% of total)const: 1.0ms (1.2% of total)ival->=: 1.0ms (1.2% of total)| Inputs |
|---|
#<alt (if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))> |
#<alt (>= b 0)> |
#<alt (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))> |
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))> |
#<alt (sqrt (+ (* b b) (* c (* a -4))))> |
#<alt (- (sqrt (+ (* b b) (* c (* a -4)))) b)> |
#<alt (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))> |
| Outputs |
|---|
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))> |
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)> |
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)> |
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | -inf | (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
| 4.0ms | c | @ | -inf | (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
| 2.0ms | a | @ | inf | (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
| 1.0ms | a | @ | inf | (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
| 1.0ms | c | @ | inf | (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
| 1× | batch-egg-rewrite |
| 5142× | *-lowering-*.f32 |
| 5142× | *-lowering-*.f64 |
| 3430× | /-lowering-/.f32 |
| 3430× | /-lowering-/.f64 |
| 1562× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 98 |
| 1 | 86 | 91 |
| 2 | 699 | 91 |
| 0 | 8702 | 91 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(>= b 0) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b)) |
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a) #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 a #s(literal -2 binary64))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 a #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 a #s(literal -2 binary64))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
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(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
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(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
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(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (pow.f64 (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (-.f64 (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (pow.f64 (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)))) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 c (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 #s(literal 2 binary64) (/.f64 c (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) c)) |
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (*.f64 c #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (*.f64 c #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 c #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (/.f64 c (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) c)) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 c (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) c)) |
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))) |
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (/.f64 c (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))) |
(*.f64 (/.f64 c (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 (/.f64 c (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(*.f64 (/.f64 c (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (/.f64 c (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))) (/.f64 c (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (*.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) c) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) #s(literal 2 binary64)) c) |
(*.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(*.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| 1× | egg-herbie |
| 8836× | *-lowering-*.f32 |
| 8836× | *-lowering-*.f64 |
| 4924× | +-lowering-+.f64 |
| 4924× | +-lowering-+.f32 |
| 1564× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 820 | 5874 |
| 1 | 2922 | 5529 |
| 0 | 9062 | 5529 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
| Outputs |
|---|
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
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(* 2 (/ (* a c) b)) |
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b |
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b |
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b |
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(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal 1 binary64))))) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) b))) (*.f64 a a)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b b))) (*.f64 c #s(literal -2 binary64))) (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal 1 binary64)))))) (/.f64 b a)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (*.f64 c c)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))))) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 (/.f64 b a) #s(literal 1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -2 binary64)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 c a))) c)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b (*.f64 b b))) c) (*.f64 a a)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))))) (neg.f64 c)) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 c a))) c)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) a)) (*.f64 b (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) a)) (*.f64 b (+.f64 (*.f64 b (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64))))))) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(*.f64 b (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 c c)))) (*.f64 (/.f64 #s(literal -1/8 binary64) c) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a a)))) (*.f64 a (*.f64 c (*.f64 (*.f64 a (*.f64 c c)) #s(literal -1/2 binary64))))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1 binary64) a))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -5/2 binary64)))) (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))))) b) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) b))) c)) (/.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 b b))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)))))) b) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) #s(literal -1/2 binary64)))) (*.f64 a a))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) #s(literal -1/2 binary64))) (*.f64 a a)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 b b)) c))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) b) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(/.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (/.f64 (+.f64 (*.f64 b (*.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) #s(literal -1/16 binary64)))) a)) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (/.f64 (-.f64 (*.f64 b (*.f64 a #s(literal -1/2 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))) #s(literal 1/8 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal 1/32 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b (sqrt.f64 (/.f64 a c))))))) a)) a)) a)) (neg.f64 a)) |
Compiled 38498 to 2633 computations (93.2% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 662 | 14 | 676 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 663 | 14 | 677 |
| Status | Accuracy | Program |
|---|---|---|
| 50.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) | |
| 46.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) | |
| ▶ | 50.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))) |
| 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) b))) | |
| 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b))) | |
| 68.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) | |
| ▶ | 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64))))) |
| 51.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) | |
| ▶ | 73.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c)) |
| ▶ | 70.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) | |
| 73.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) | |
| 70.6% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) | |
| ▶ | 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
Compiled 1198 to 598 computations (50.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 321 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
| ✓ | cost-diff | 512 | (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
| ✓ | cost-diff | 0 | (/.f64 b (neg.f64 a)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 64 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c)) |
| 2752× | *-lowering-*.f32 |
| 2752× | *-lowering-*.f64 |
| 1934× | times-frac |
| 1562× | /-lowering-/.f32 |
| 1562× | /-lowering-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 632 |
| 1 | 104 | 594 |
| 2 | 245 | 594 |
| 3 | 470 | 594 |
| 4 | 747 | 594 |
| 5 | 1943 | 594 |
| 6 | 7390 | 594 |
| 0 | 8125 | 594 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (* (/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) c)) |
(>= b 0) |
b |
0 |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
(* a -2) |
-2 |
(* (/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) c) |
(/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) |
(- b (sqrt (+ (* b b) (* c (* a -4))))) |
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(>= b 0) |
b |
0 |
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) |
(/ -1/2 a) |
-1/2 |
a |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
(* c (* a -4)) |
c |
(* a -4) |
-4 |
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
(* c 2) |
2 |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(>= b 0) |
b |
0 |
(/ b (neg a)) |
(neg a) |
a |
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
(* c 2) |
c |
2 |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
(* c (* a -4)) |
(* a -4) |
-4 |
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ 1 (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2)))) |
(>= b 0) |
b |
0 |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
(* a -2) |
-2 |
(/ 1 (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2))) |
1 |
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2)) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(* c 2) |
2 |
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* (* c 2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (+ (* b b) (- (* c (* a -4)) (* b b))))) |
(>= b 0) |
b |
0 |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
(* a -2) |
-2 |
(/ (* (* c 2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (+ (* b b) (- (* c (* a -4)) (* b b)))) |
(* (* c 2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) |
(* c 2) |
2 |
(+ (* b b) (- (* c (* a -4)) (* b b))) |
(- (* c (* a -4)) (* b b)) |
| Outputs |
|---|
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (* (/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* c (* a -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
(* a -2) |
(*.f64 a #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(* (/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) c) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) |
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(- b (sqrt (+ (* b b) (* c (* a -4))))) |
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
-1/2 |
#s(literal -1/2 binary64) |
a |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* c (* a -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(* c 2) |
(*.f64 c #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ b (neg a)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(* c 2) |
(*.f64 c #s(literal 2 binary64)) |
c |
2 |
#s(literal 2 binary64) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* c (* a -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ 1 (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* c (* a -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
(* a -2) |
(*.f64 a #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ 1 (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
1 |
#s(literal 1 binary64) |
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2)) |
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 c #s(literal -2 binary64))) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(* c 2) |
(*.f64 c #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* (* c 2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (+ (* b b) (- (* c (* a -4)) (* b b))))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* c (* a -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
(* a -2) |
(*.f64 a #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ (* (* c 2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (+ (* b b) (- (* c (* a -4)) (* b b)))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(* (* c 2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) |
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 c #s(literal 2 binary64))) |
(* c 2) |
(*.f64 c #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ (* b b) (- (* c (* a -4)) (* b b))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(- (* c (* a -4)) (* b b)) |
(-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 81.7% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 68.3% | (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
| ✓ | accuracy | 65.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 48.4% | (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) |
| ✓ | accuracy | 95.0% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64))) |
| ✓ | accuracy | 81.7% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 77.4% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 65.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 99.0% | (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 95.4% | (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
| ✓ | accuracy | 77.4% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 65.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 95.4% | (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
| ✓ | accuracy | 81.7% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 77.4% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 65.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 94.9% | (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c) |
| ✓ | accuracy | 81.7% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 77.4% | (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 65.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| 272.0ms | 108× | 2 | valid |
| 103.0ms | 96× | 0 | valid |
| 78.0ms | 49× | 1 | valid |
| 9.0ms | 3× | 3 | valid |
Compiled 741 to 40 computations (94.6% saved)
backward-pass: 55.0ms (37.3% of total)ival-mult: 28.0ms (19% of total)ival-div: 25.0ms (17% of total)ival-if: 13.0ms (8.8% of total)ival-sub: 8.0ms (5.4% of total)ival-add: 8.0ms (5.4% of total)ival-sqrt: 5.0ms (3.4% of total)const: 2.0ms (1.4% of total)ival-neg: 2.0ms (1.4% of total)ival->=: 1.0ms (0.7% of total)| Inputs |
|---|
#<alt (if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (* (/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) c))> |
#<alt (>= b 0)> |
#<alt (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))> |
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))> |
#<alt (if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))> |
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4))))))> |
#<alt (/ -1/2 a)> |
#<alt (if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))> |
#<alt (/ b (neg a))> |
#<alt (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))> |
#<alt (/ 1 (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2)))> |
#<alt (if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ 1 (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2))))> |
#<alt (+ (* b b) (- (* c (* a -4)) (* b b)))> |
#<alt (/ (* (* c 2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (+ (* b b) (- (* c (* a -4)) (* b b))))> |
#<alt (if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* (* c 2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (+ (* b b) (- (* c (* a -4)) (* b b)))))> |
#<alt (sqrt (+ (* b b) (* c (* a -4))))> |
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))> |
#<alt (* (/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) c)> |
#<alt (- (sqrt (+ (* b b) (* c (* a -4)))) b)> |
#<alt (+ (* b b) (* c (* a -4)))> |
#<alt (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2))> |
| Outputs |
|---|
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 b)> |
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
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#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)> |
#<alt (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)> |
#<alt (* 2 b)> |
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))> |
#<alt (* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))> |
#<alt (* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))> |
#<alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))> |
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))> |
#<alt (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))> |
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b))))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a)> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a)> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -4 (* a c))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (+ (* 1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 1/2 (/ 1 c)))))> |
#<alt (+ (* 1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 c)))))> |
#<alt (* -1 (/ a b))> |
#<alt (/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c)))))) b)> |
#<alt (* -1 (/ b c))> |
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (/ 1 c)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (* -1 (/ a (pow b 2))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (/ 1 c))))))> |
#<alt (* -1 (/ a b))> |
#<alt (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))> |
#<alt (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b c)) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b c)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) c)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 b)) c)))> |
#<alt (* -1 (/ a b))> |
#<alt (* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b)))> |
#<alt (* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (* b c))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))> |
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* a (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* a (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ b c)) (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (/ b c))) a)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
174 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | c | @ | 0 | (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2)) |
| 5.0ms | a | @ | 0 | (/ -1/2 a) |
| 4.0ms | c | @ | -inf | (- b (sqrt (+ (* b b) (* c (* a -4))))) |
| 1.0ms | a | @ | inf | (* (/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) c) |
| 1.0ms | a | @ | -inf | (* (/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) c) |
| 1× | batch-egg-rewrite |
| 4446× | /-lowering-/.f32 |
| 4446× | /-lowering-/.f64 |
| 3536× | *-lowering-*.f32 |
| 3536× | *-lowering-*.f64 |
| 1810× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 334 |
| 1 | 213 | 313 |
| 2 | 1804 | 313 |
| 0 | 9089 | 313 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (* (/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) c)) |
(>= b 0) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) |
(/ -1/2 a) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(/ b (neg a)) |
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
(/ 1 (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2))) |
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ 1 (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2)))) |
(+ (* b b) (- (* c (* a -4)) (* b b))) |
(/ (* (* c 2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (+ (* b b) (- (* c (* a -4)) (* b b)))) |
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* (* c 2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (+ (* b b) (- (* c (* a -4)) (* b b))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(- b (sqrt (+ (* b b) (* c (* a -4))))) |
(* (/ -2 (- b (sqrt (+ (* b b) (* c (* a -4)))))) c) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(+ (* b b) (* c (* a -4))) |
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2)) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 c (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)))) |
(>=.f64 b #s(literal 0 binary64)) |
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))) (/.f64 (/.f64 #s(literal 1/2 binary64) c) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (+.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1/2 binary64) c) (+.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)))) |
(*.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) c)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) c) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (/.f64 #s(literal 1/2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
| 1× | egg-herbie |
| 6578× | *-lowering-*.f32 |
| 6578× | *-lowering-*.f64 |
| 4018× | +-lowering-+.f64 |
| 4018× | +-lowering-+.f32 |
| 1792× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1253 | 16080 |
| 1 | 4645 | 15012 |
| 0 | 8532 | 15012 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
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(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
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(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
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(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
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(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
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(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
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(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
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(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
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(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
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(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
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(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -4))) |
(+ (* -1/2 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 1/2 (/ 1 c))))) |
(+ (* 1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 c))))) |
(* -1 (/ a b)) |
(/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c)))))) b) |
(* -1 (/ b c)) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (/ 1 c))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (* -1 (/ a (pow b 2))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (/ 1 c)))))) |
(* -1 (/ a b)) |
(+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))) |
(+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -4))) |
(+ (* -1/2 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))) |
(+ (* -1/2 (/ b c)) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))) |
(+ (* -1/2 (/ b c)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 b)) c))) |
(* -1 (/ a b)) |
(* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b))) |
(* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (* b c))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -4))) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* a (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* a (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ b c)) (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (/ b c))) a)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
| Outputs |
|---|
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
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b |
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))))))) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (*.f64 #s(literal 1/512 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 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (neg.f64 c)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f64 b (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(+.f64 b (*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))))) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(* 2 (/ (* a c) b)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b))) (*.f64 (*.f64 a c) #s(literal 2 binary64))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))))) b) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 b b)) #s(literal -2 binary64))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 b b)))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))))) |
(* 2 (/ (* a c) b)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 2 binary64) (/.f64 a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (/.f64 a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(*.f64 c (+.f64 (*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (/.f64 a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
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(pow b 2) |
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(pow b 2) |
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(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) c) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) a))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (/ b c))) a)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) c) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c))))))) a)) a))) |
Compiled 242418 to 9039 computations (96.3% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4415 | 10 | 4425 |
| Fresh | 5 | 4 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 4424 | 15 | 4439 |
| Status | Accuracy | Program |
|---|---|---|
| 69.9% | (if (>=.f64 b #s(literal 0 binary64)) (pow.f64 (/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) | |
| 50.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) | |
| 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b))) | |
| ▶ | 67.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
| 57.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 b b)) b))) | |
| ▶ | 56.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) |
| ▶ | 64.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))) |
| 35.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))) | |
| 35.6% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) | |
| ▶ | 65.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
| 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) | |
| ▶ | 73.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| 70.5% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c)) | |
| ✓ | 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| 56.4% | (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) |
Compiled 885 to 518 computations (41.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 384 | (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)) |
| ✓ | cost-diff | 0 | (/.f64 b (neg.f64 a)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 64 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 64 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) |
| ✓ | cost-diff | 384 | (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (/.f64 c b)) |
| ✓ | cost-diff | 0 | (/.f64 b (neg.f64 a)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 64 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a) |
| 2794× | *-lowering-*.f32 |
| 2794× | *-lowering-*.f64 |
| 1008× | fmsub-define |
| 946× | fnmsub-define |
| 938× | fmm-def |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 494 |
| 1 | 127 | 472 |
| 2 | 302 | 470 |
| 3 | 1040 | 467 |
| 4 | 3976 | 450 |
| 0 | 8859 | 450 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(>= b 0) |
b |
0 |
(/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)) |
-1/2 |
(* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a) |
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) |
1 |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
(* c 2) |
2 |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(if (>= b 0) (/ b (neg a)) (- 0 (/ c b))) |
(>= b 0) |
b |
0 |
(/ b (neg a)) |
(neg a) |
a |
(- 0 (/ c b)) |
(/ c b) |
c |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b)))))) |
(>= b 0) |
b |
0 |
(/ b (neg a)) |
(neg a) |
a |
(/ (* c 2) (* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b))))) |
(* c 2) |
c |
2 |
(* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b)))) |
(- 0 b) |
(+ 2 (/ (* (* a c) -2) (* b b))) |
(/ (* (* a c) -2) (* b b)) |
(* (* a c) -2) |
(* a c) |
-2 |
(* b b) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (* -4 (* a c))) b))) |
(>= b 0) |
b |
0 |
(/ b (neg a)) |
(neg a) |
a |
(/ (* c 2) (- (sqrt (* -4 (* a c))) b)) |
(* c 2) |
c |
2 |
(- (sqrt (* -4 (* a c))) b) |
(sqrt (* -4 (* a c))) |
(* -4 (* a c)) |
-4 |
(* a c) |
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ 1 (* (- 0 b) (- (/ 1 c) (/ a (* b b)))))) |
(>= b 0) |
b |
0 |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
(* a -2) |
-2 |
(/ 1 (* (- 0 b) (- (/ 1 c) (/ a (* b b))))) |
1 |
(* (- 0 b) (- (/ 1 c) (/ a (* b b)))) |
(- 0 b) |
(- (/ 1 c) (/ a (* b b))) |
(/ 1 c) |
(/ a (* b b)) |
| Outputs |
|---|
(if (>= b 0) (/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)) |
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 #s(literal -1/2 binary64) a)) |
-1/2 |
#s(literal -1/2 binary64) |
(* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a) |
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
1 |
#s(literal 1 binary64) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* b b) |
(*.f64 b b) |
(* c (* a -4)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)) |
(* c 2) |
(*.f64 c #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b) |
(if (>= b 0) (/ b (neg a)) (- 0 (/ c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ b (neg a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(- 0 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ c b) |
(/.f64 c b) |
c |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 c (/.f64 #s(literal -1 binary64) (-.f64 b (/.f64 (*.f64 c a) b))))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ b (neg a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(/ (* c 2) (* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b))))) |
(*.f64 c (/.f64 #s(literal -1 binary64) (-.f64 b (/.f64 (*.f64 c a) b)))) |
(* c 2) |
(*.f64 c #s(literal 2 binary64)) |
c |
2 |
#s(literal 2 binary64) |
(* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b)))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
(+ 2 (/ (* (* a c) -2) (* b b))) |
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b))) |
(/ (* (* a c) -2) (* b b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b)) |
(* (* a c) -2) |
(*.f64 (*.f64 c a) #s(literal -2 binary64)) |
(* a c) |
(*.f64 c a) |
-2 |
#s(literal -2 binary64) |
(* b b) |
(*.f64 b b) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (* -4 (* a c))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ b (neg a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(/ (* c 2) (- (sqrt (* -4 (* a c))) b)) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) |
(* c 2) |
(*.f64 c #s(literal 2 binary64)) |
c |
2 |
#s(literal 2 binary64) |
(- (sqrt (* -4 (* a c))) b) |
(-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) |
(sqrt (* -4 (* a c))) |
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
-4 |
#s(literal -4 binary64) |
(* a c) |
(*.f64 c a) |
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ 1 (* (- 0 b) (- (/ 1 c) (/ a (* b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* b b) |
(*.f64 b b) |
(* c (* a -4)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
(* a -2) |
(*.f64 a #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ 1 (* (- 0 b) (- (/ 1 c) (/ a (* b b))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
1 |
#s(literal 1 binary64) |
(* (- 0 b) (- (/ 1 c) (/ a (* b b)))) |
(-.f64 (/.f64 a b) (/.f64 b c)) |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
(- (/ 1 c) (/ a (* b b))) |
(-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ a (* b b)) |
(/.f64 a (*.f64 b b)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 93.7% | (/.f64 a (*.f64 b b)) |
| ✓ | accuracy | 90.7% | (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))) |
| ✓ | accuracy | 89.6% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 77.3% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -4 binary64) (*.f64 a c)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)) |
| ✓ | accuracy | 99.5% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 83.9% | (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
| ✓ | accuracy | 99.5% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 94.2% | (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) |
| ✓ | accuracy | 92.8% | (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) |
| ✓ | accuracy | 89.5% | (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (/.f64 b (neg.f64 a)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 99.5% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 96.0% | (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
| ✓ | accuracy | 90.9% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 89.6% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 77.3% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| 139.0ms | 49× | 2 | valid |
| 93.0ms | 94× | 0 | valid |
| 56.0ms | 79× | 0 | invalid |
| 53.0ms | 31× | 1 | valid |
| 9.0ms | 3× | 3 | valid |
Compiled 547 to 50 computations (90.9% saved)
ival-mult: 36.0ms (27.5% of total)ival-div: 29.0ms (22.2% of total)backward-pass: 28.0ms (21.4% of total)ival-sub: 11.0ms (8.4% of total)ival-if: 9.0ms (6.9% of total)ival-add: 6.0ms (4.6% of total)ival-sqrt: 6.0ms (4.6% of total)const: 2.0ms (1.5% of total)ival->=: 2.0ms (1.5% of total)ival-neg: 2.0ms (1.5% of total)| Inputs |
|---|
#<alt (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)> |
#<alt (if (>= b 0) (/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))> |
#<alt (>= b 0)> |
#<alt (/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a))> |
#<alt (if (>= b 0) (/ b (neg a)) (- 0 (/ c b)))> |
#<alt (/ b (neg a))> |
#<alt (- 0 (/ c b))> |
#<alt (* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b))))> |
#<alt (/ (* c 2) (* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b)))))> |
#<alt (if (>= b 0) (/ b (neg a)) (/ (* c 2) (* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b))))))> |
#<alt (if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (* -4 (* a c))) b)))> |
#<alt (/ (* c 2) (- (sqrt (* -4 (* a c))) b))> |
#<alt (* (- 0 b) (- (/ 1 c) (/ a (* b b))))> |
#<alt (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))> |
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))> |
#<alt (sqrt (+ (* b b) (* c (* a -4))))> |
#<alt (- (sqrt (+ (* b b) (* c (* a -4)))) b)> |
#<alt (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))> |
#<alt (neg a)> |
#<alt (/ (* (* a c) -2) (* b b))> |
#<alt (sqrt (* -4 (* a c)))> |
#<alt (* -4 (* a c))> |
#<alt (/ a (* b b))> |
| Outputs |
|---|
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))> |
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (* 1/2 (/ a b))> |
#<alt (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)> |
#<alt (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)> |
#<alt (* 1/2 (/ b c))> |
#<alt (* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))> |
#<alt (* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))> |
#<alt (* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))))> |
#<alt (* 1/2 (/ a b))> |
#<alt (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))> |
#<alt (+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3))))))> |
#<alt (+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))> |
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))> |
#<alt (/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)> |
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))> |
#<alt (* a (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))> |
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))> |
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2))))))> |
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c)))> |
#<alt (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* a (pow b 3)) c)) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
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#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (/ b (* (pow a 2) (* c (pow (sqrt -4) 4))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (* -2 (/ c b))> |
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#<alt (/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (+ (* -2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) (pow b 3)))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2)))))) b)> |
#<alt (* -2 (/ c b))> |
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -1 (/ (+ (* 2 (* a (* (pow c 2) (pow (sqrt -4) 2)))) (* 2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) b)))) b))) b)) (* 2 c)) b))> |
#<alt (/ a b)> |
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#<alt (/ (+ a (* -1 (/ (pow b 2) c))) b)> |
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#<alt (/ (+ (* -1 b) (/ (* a c) b)) c)> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) c)> |
#<alt (/ a b)> |
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#<alt (+ (* -1 (/ b c)) (/ a b))> |
#<alt (+ (* -1 (/ b c)) (/ a b))> |
#<alt (/ a b)> |
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#<alt (+ (* -1 (/ b c)) (/ a b))> |
#<alt (+ (* -1 (/ b c)) (/ a b))> |
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#<alt (+ (* -1 (/ b c)) (/ a b))> |
#<alt (+ (* -1 (/ b c)) (/ a b))> |
#<alt (/ a b)> |
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#<alt (* a (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (* a (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (/ a b)> |
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#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
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#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
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#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1 (/ b a))> |
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#<alt (* (sqrt (* a c)) (sqrt -4))> |
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#<alt (* 2 b)> |
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#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))> |
#<alt (* 2 b)> |
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#<alt (* 2 b)> |
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#<alt (* (sqrt (* a c)) (sqrt -4))> |
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
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#<alt (* -1 b)> |
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#<alt b> |
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt b> |
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
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#<alt (* -2 (/ (* a c) b))> |
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#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
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#<alt (* -2 (/ (* a c) b))> |
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#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))> |
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)> |
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)> |
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
180 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a | @ | -inf | (/ (* c 2) (- (sqrt (* -4 (* a c))) b)) |
| 2.0ms | a | @ | inf | (* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b)))) |
| 1.0ms | c | @ | 0 | (/ (* c 2) (- (sqrt (* -4 (* a c))) b)) |
| 1.0ms | b | @ | inf | (/ (* (* a c) -2) (* b b)) |
| 1.0ms | c | @ | inf | (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a) |
| 1× | batch-egg-rewrite |
| 2798× | *-lowering-*.f32 |
| 2798× | *-lowering-*.f64 |
| 2454× | fma-lowering-fma.f32 |
| 2454× | fma-lowering-fma.f64 |
| 2024× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 272 |
| 1 | 290 | 254 |
| 2 | 2843 | 254 |
| 0 | 8414 | 254 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a) |
(if (>= b 0) (/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))) |
(>= b 0) |
(/ -1/2 (* (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) a)) |
(if (>= b 0) (/ b (neg a)) (- 0 (/ c b))) |
(/ b (neg a)) |
(- 0 (/ c b)) |
(* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b)))) |
(/ (* c 2) (* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b))))) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (* (- 0 b) (+ 2 (/ (* (* a c) -2) (* b b)))))) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (* -4 (* a c))) b))) |
(/ (* c 2) (- (sqrt (* -4 (* a c))) b)) |
(* (- 0 b) (- (/ 1 c) (/ a (* b b)))) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)) |
(neg a) |
(/ (* (* a c) -2) (* b b)) |
(sqrt (* -4 (* a c))) |
(* -4 (* a c)) |
(/ a (* b b)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a)) |
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(pow.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a) |
(*.f64 (/.f64 a (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (+.f64 (*.f64 b b) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(*.f64 (/.f64 a (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64)))) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal 1 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
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(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/4 binary64)) |
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(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) b) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(fma.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
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(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b))))) |
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b))) |
(pow.f64 (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
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(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))) |
(neg.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
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(/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
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(*.f64 #s(literal 2 binary64) (/.f64 c (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(*.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (*.f64 c #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) c) |
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(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) |
(-.f64 #s(literal 0 binary64) a) |
(neg.f64 a) |
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)) |
(*.f64 a #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) a) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b))) |
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b) |
(/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) b) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) |
(*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) (*.f64 b b)))) |
(*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) (*.f64 b b)))) |
(*.f64 a (*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))) |
(*.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) (*.f64 b b))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) |
(*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 c a) b) (/.f64 #s(literal -2 binary64) b)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (*.f64 c a) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (*.f64 c #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) |
(*.f64 (/.f64 a b) (/.f64 (*.f64 c #s(literal -2 binary64)) b)) |
(*.f64 (/.f64 a b) (pow.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 b b)) (*.f64 c a)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (*.f64 c a) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (pow.f64 (*.f64 c a) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64))) |
(*.f64 (sqrt.f64 c) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) |
(*.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 a) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 a) (pow.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) |
(*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64)) (sqrt.f64 a)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a)))) |
(pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) #s(literal 1/2 binary64)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 c (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64))) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 c a) #s(literal 1 binary64))) |
(*.f64 #s(literal -4 binary64) (pow.f64 (pow.f64 (*.f64 c a) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(*.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 c) (pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 c a) #s(literal 1 binary64)) #s(literal -4 binary64)) |
(*.f64 (pow.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c a) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 c #s(literal -4 binary64)) a) |
(*.f64 (*.f64 #s(literal -4 binary64) c) a) |
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) c) |
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 c) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 c) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 c c) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c c) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) c) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 c)) |
(*.f64 (pow.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c a)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b b)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a b))) |
(/.f64 a (*.f64 b b)) |
(/.f64 a (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) a))) |
(/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (/.f64 a b) b) |
(pow.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 a b)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) a) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a b)) |
(*.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) b)) |
| 1× | egg-herbie |
| 7036× | *-lowering-*.f32 |
| 7036× | *-lowering-*.f64 |
| 4068× | +-lowering-+.f64 |
| 4068× | +-lowering-+.f32 |
| 1890× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1393 | 13076 |
| 1 | 4970 | 12277 |
| 0 | 9296 | 12277 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(* 1/2 (/ a b)) |
(/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b) |
(* 1/2 (/ b c)) |
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))) |
(* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))))) |
(* 1/2 (/ a b)) |
(+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* 1/2 (/ a b)) |
(* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2)))))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c))) |
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
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(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* -2 (/ c (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b)))) |
(if (>= b 0) (* -1 (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b)))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -4) 4)))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* a (pow b 3)) c)) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (pow (sqrt -4) 3)))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (/ b (* (pow a 2) (* c (pow (sqrt -4) 4))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -2 (/ c b)) |
(/ (+ (* -2 c) (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b) |
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2))))) b) |
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (+ (* -2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) (pow b 3)))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2)))))) b) |
(* -2 (/ c b)) |
(* -1 (/ (+ (* 2 c) (* 2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) b))) b)) (* 2 c)) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -1 (/ (+ (* 2 (* a (* (pow c 2) (pow (sqrt -4) 2)))) (* 2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) b)))) b))) b)) (* 2 c)) b)) |
(/ a b) |
(/ (+ a (* -1 (/ (pow b 2) c))) b) |
(/ (+ a (* -1 (/ (pow b 2) c))) b) |
(/ (+ a (* -1 (/ (pow b 2) c))) b) |
(* -1 (/ b c)) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* -1 (/ b c)) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (/ b c)) |
(/ (+ (* -1 b) (/ (* a c) b)) c) |
(/ (+ (* -1 b) (/ (* a c) b)) c) |
(/ (+ (* -1 b) (/ (* a c) b)) c) |
(/ a b) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (/ a b)) |
(/ a b) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (/ a b)) |
(* -1 (/ b c)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (/ a b)) |
(/ a b) |
(* a (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* a (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* a (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ a b) |
(* -1 (* a (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* a (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* a (- (/ b (* a c)) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
| Outputs |
|---|
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (/.f64 b c) #s(literal 4 binary64))) |
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 b (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal 4 binary64))))) |
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal 4 binary64))))) |
(* 1/2 (/ a b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 a b)) |
(/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 a (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))) b) |
(/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/.f64 (+.f64 (+.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b b))) b) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b) |
(/.f64 (-.f64 (-.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64))) #s(literal -5/2 binary64)) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) b) |
(* 1/2 (/ b c)) |
(/.f64 (*.f64 b #s(literal 1/2 binary64)) c) |
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
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(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
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(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* 2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) |
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(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
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(* 2 b) |
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(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
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(* 2 b) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
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(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) b) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
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(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
Compiled 56155 to 4092 computations (92.7% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1545 | 24 | 1569 |
| Fresh | 4 | 5 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1552 | 32 | 1584 |
| Status | Accuracy | Program |
|---|---|---|
| 50.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) | |
| 55.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) | |
| 41.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| 50.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| ▶ | 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b))) |
| 48.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| 64.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) | |
| 49.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b))) | |
| 57.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) (*.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))) (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))))) | |
| 48.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b))) | |
| 43.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b))) | |
| ▶ | 57.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 b b)) b))) |
| ✓ | 56.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) |
| 65.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) | |
| ▶ | 64.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))) |
| 64.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal -2 binary64))))) | |
| 36.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b a)) | |
| 49.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c)))))) | |
| 63.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (*.f64 c (/.f64 #s(literal -2 binary64) b))))) | |
| ▶ | 45.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))) |
| 55.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)) | |
| 56.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) c)) | |
| ▶ | 65.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
| 64.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) | |
| ✓ | 73.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| 64.8% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) | |
| 60.2% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) | |
| ✓ | 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| 64.9% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| 63.8% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) | |
| 56.4% | (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) |
Compiled 1785 to 1010 computations (43.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 b (neg.f64 a)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 64 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 b b)) b))) |
| ✓ | cost-diff | 128 | (sqrt.f64 (*.f64 b b)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 64 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))) |
| ✓ | cost-diff | 128 | (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b)))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b))))) |
| ✓ | cost-diff | 0 | (/.f64 b (neg.f64 a)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 64 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))) |
| ✓ | cost-diff | 512 | (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (/.f64 c b) |
| ✓ | cost-diff | 0 | (/.f64 b (neg.f64 a)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 64 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b))) |
| 3320× | *-lowering-*.f32 |
| 3320× | *-lowering-*.f64 |
| 1836× | /-lowering-/.f32 |
| 1836× | /-lowering-/.f64 |
| 1304× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 383 |
| 1 | 119 | 364 |
| 2 | 232 | 364 |
| 3 | 498 | 362 |
| 4 | 1359 | 362 |
| 5 | 3611 | 362 |
| 6 | 6085 | 362 |
| 0 | 8065 | 362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b))) |
(>= b 0) |
b |
0 |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
(* a -2) |
-2 |
(/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b)) |
(* c 2) |
2 |
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b) |
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) |
1 |
(sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
(/ 1 (+ (* b b) (* c (* a -4)))) |
(if (>= b 0) (/ b (neg a)) (neg (/ c b))) |
(>= b 0) |
b |
0 |
(/ b (neg a)) |
(neg a) |
a |
(neg (/ c b)) |
(/ c b) |
c |
(if (>= b 0) (/ b (neg a)) (* (/ c (- 0 (* b (* b b)))) (* b b))) |
(>= b 0) |
b |
0 |
(/ b (neg a)) |
(neg a) |
a |
(* (/ c (- 0 (* b (* b b)))) (* b b)) |
(/ c (- 0 (* b (* b b)))) |
c |
(- 0 (* b (* b b))) |
(* b (* b b)) |
(* b b) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))) |
(>= b 0) |
b |
0 |
(/ b (neg a)) |
(neg a) |
a |
(/ (* c 2) (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(* c 2) |
c |
2 |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(* -2 (/ b c)) |
-2 |
(/ b c) |
(* 2 (/ a b)) |
(/ a b) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (* b b)) b))) |
(>= b 0) |
b |
0 |
(/ b (neg a)) |
(neg a) |
a |
(/ (* c 2) (- (sqrt (* b b)) b)) |
(* c 2) |
c |
2 |
(- (sqrt (* b b)) b) |
(sqrt (* b b)) |
(* b b) |
| Outputs |
|---|
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 b (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* c (* a -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
(* a -2) |
(*.f64 a #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b)) |
(*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 b (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(* c 2) |
(*.f64 c #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b) |
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
1 |
#s(literal 1 binary64) |
(sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/ 1 (+ (* b b) (* c (* a -4)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(if (>= b 0) (/ b (neg a)) (neg (/ c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) a) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ b (neg a)) |
(/.f64 (-.f64 #s(literal 0 binary64) b) a) |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(neg (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ c b) |
(/.f64 c b) |
c |
(if (>= b 0) (/ b (neg a)) (* (/ c (- 0 (* b (* b b)))) (* b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) a) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ b (neg a)) |
(/.f64 (-.f64 #s(literal 0 binary64) b) a) |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(* (/ c (- 0 (* b (* b b)))) (* b b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ c (- 0 (* b (* b b)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c (*.f64 b b)) b)) |
c |
(- 0 (* b (* b b))) |
(*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(* b (* b b)) |
(*.f64 b (*.f64 b b)) |
(* b b) |
(*.f64 b b) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (/.f64 #s(literal 2 binary64) b))))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ b (neg a)) |
(/.f64 (-.f64 #s(literal 0 binary64) b) a) |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(/ (* c 2) (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (/.f64 #s(literal 2 binary64) b)))) |
(* c 2) |
(*.f64 c #s(literal 2 binary64)) |
c |
2 |
#s(literal 2 binary64) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(+.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) b)) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (/.f64 #s(literal 2 binary64) b))) |
(* -2 (/ b c)) |
(/.f64 #s(literal -2 binary64) (/.f64 c b)) |
-2 |
#s(literal -2 binary64) |
(/ b c) |
(/.f64 b c) |
(* 2 (/ a b)) |
(*.f64 a (/.f64 #s(literal 2 binary64) b)) |
(/ a b) |
(/.f64 a b) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (* b b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (fabs.f64 b) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ b (neg a)) |
(/.f64 (-.f64 #s(literal 0 binary64) b) a) |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(/ (* c 2) (- (sqrt (* b b)) b)) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (fabs.f64 b) b)) |
(* c 2) |
(*.f64 c #s(literal 2 binary64)) |
c |
2 |
#s(literal 2 binary64) |
(- (sqrt (* b b)) b) |
(-.f64 (fabs.f64 b) b) |
(sqrt (* b b)) |
(fabs.f64 b) |
(* b b) |
(*.f64 b b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 99.2% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 81.0% | (sqrt.f64 (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b))) |
| ✓ | accuracy | 99.2% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 97.1% | (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b))))) |
| ✓ | accuracy | 89.6% | (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b)))) |
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 99.2% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 95.9% | (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
| ✓ | accuracy | 76.5% | (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (/.f64 b (neg.f64 a)) |
| ✓ | accuracy | 100.0% | (neg.f64 (/.f64 c b)) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 99.2% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 96.1% | (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
| ✓ | accuracy | 85.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 85.4% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 81.7% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| 105.0ms | 41× | 2 | valid |
| 103.0ms | 138× | 0 | invalid |
| 100.0ms | 35× | 1 | valid |
| 32.0ms | 42× | 0 | valid |
Compiled 453 to 47 computations (89.6% saved)
ival-div: 60.0ms (45.6% of total)ival-mult: 24.0ms (18.2% of total)backward-pass: 13.0ms (9.9% of total)ival-sqrt: 10.0ms (7.6% of total)ival-if: 8.0ms (6.1% of total)ival-add: 6.0ms (4.6% of total)ival-sub: 5.0ms (3.8% of total)ival-neg: 3.0ms (2.3% of total)const: 1.0ms (0.8% of total)ival->=: 1.0ms (0.8% of total)| Inputs |
|---|
#<alt (if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b)))> |
#<alt (>= b 0)> |
#<alt (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))> |
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))> |
#<alt (if (>= b 0) (/ b (neg a)) (neg (/ c b)))> |
#<alt (/ b (neg a))> |
#<alt (/ c b)> |
#<alt (* (/ c (- 0 (* b (* b b)))) (* b b))> |
#<alt (if (>= b 0) (/ b (neg a)) (* (/ c (- 0 (* b (* b b)))) (* b b)))> |
#<alt (/ (* c 2) (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))> |
#<alt (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))> |
#<alt (if (>= b 0) (/ b (neg a)) (/ (* c 2) (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))))> |
#<alt (sqrt (* b b))> |
#<alt (if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (* b b)) b)))> |
#<alt (sqrt (+ (* b b) (* c (* a -4))))> |
#<alt (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))> |
#<alt (neg a)> |
#<alt (neg (/ c b))> |
#<alt (/ c (- 0 (* b (* b b))))> |
#<alt (* b (* b b))> |
#<alt (+ (* -2 (/ b c)) (* 2 (/ a b)))> |
#<alt (* b b)> |
| Outputs |
|---|
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 b)> |
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))> |
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))> |
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))> |
#<alt (/ 1 b)> |
#<alt (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)> |
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)> |
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)> |
#<alt (/ -1 b)> |
#<alt (* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))> |
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))> |
#<alt (/ 1 b)> |
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))> |
#<alt (+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))> |
#<alt (+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))> |
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))> |
#<alt (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (/ 1 b)> |
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))> |
#<alt (+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))> |
#<alt (+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))> |
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (* -1 (/ c (pow b 3)))> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (* 2 (/ a b))> |
#<alt (/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b)> |
#<alt (/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b)> |
#<alt (/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b)> |
#<alt (* -2 (/ b c))> |
#<alt (* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))> |
#<alt (* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))> |
#<alt (* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))> |
#<alt (* -2 (/ b c))> |
#<alt (* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))))> |
#<alt (* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))))> |
#<alt (* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))))> |
#<alt (* -2 (/ b c))> |
#<alt (/ (+ (* -2 b) (* 2 (/ (* a c) b))) c)> |
#<alt (/ (+ (* -2 b) (* 2 (/ (* a c) b))) c)> |
#<alt (/ (+ (* -2 b) (* 2 (/ (* a c) b))) c)> |
#<alt (* 2 (/ a b))> |
#<alt (+ (* -2 (/ b c)) (* 2 (/ a b)))> |
#<alt (+ (* -2 (/ b c)) (* 2 (/ a b)))> |
#<alt (+ (* -2 (/ b c)) (* 2 (/ a b)))> |
#<alt (* 2 (/ a b))> |
#<alt (+ (* -2 (/ b c)) (* 2 (/ a b)))> |
#<alt (+ (* -2 (/ b c)) (* 2 (/ a b)))> |
#<alt (+ (* -2 (/ b c)) (* 2 (/ a b)))> |
#<alt (* -2 (/ b c))> |
#<alt (+ (* -2 (/ b c)) (* 2 (/ a b)))> |
#<alt (+ (* -2 (/ b c)) (* 2 (/ a b)))> |
#<alt (+ (* -2 (/ b c)) (* 2 (/ a b)))> |
#<alt (* 2 (/ a b))> |
#<alt (* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b))))> |
#<alt (* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b))))> |
#<alt (* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b))))> |
#<alt (* 2 (/ a b))> |
#<alt (* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b)))))> |
#<alt (* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b)))))> |
#<alt (* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b)))))> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | a | @ | 0 | (/ (* c 2) (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
| 2.0ms | c | @ | inf | (/ c (- 0 (* b (* b b)))) |
| 1.0ms | b | @ | 0 | (sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
| 1.0ms | a | @ | inf | (sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
| 1.0ms | c | @ | inf | (sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
| 1× | batch-egg-rewrite |
| 3216× | *-lowering-*.f32 |
| 3216× | *-lowering-*.f64 |
| 1978× | /-lowering-/.f32 |
| 1978× | /-lowering-/.f64 |
| 1968× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 225 |
| 1 | 256 | 207 |
| 2 | 2159 | 207 |
| 0 | 8441 | 207 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b))) |
(>= b 0) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(if (>= b 0) (/ b (neg a)) (neg (/ c b))) |
(/ b (neg a)) |
(/ c b) |
(* (/ c (- 0 (* b (* b b)))) (* b b)) |
(if (>= b 0) (/ b (neg a)) (* (/ c (- 0 (* b (* b b)))) (* b b))) |
(/ (* c 2) (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))) |
(sqrt (* b b)) |
(if (>= b 0) (/ b (neg a)) (/ (* c 2) (- (sqrt (* b b)) b))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
(neg a) |
(neg (/ c b)) |
(/ c (- 0 (* b (* b b)))) |
(* b (* b b)) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(* b b) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)))))) |
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(fma.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) b) |
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(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (*.f64 b b) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)))))) |
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(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
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(*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(neg.f64 (/.f64 b a)) |
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(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
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(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
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(/.f64 (*.f64 b #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (/.f64 b #s(literal -1 binary64)) a) |
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(pow.f64 (/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 c b) #s(literal 1 binary64)) |
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(/.f64 (*.f64 c #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 c #s(literal -2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))))) |
(/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) |
(/.f64 (*.f64 c (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) c) |
(/.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) c) |
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 c (/.f64 #s(literal 2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) |
(*.f64 #s(literal 2 binary64) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))))) |
(*.f64 #s(literal 2 binary64) (/.f64 c (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))))) |
(*.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) (*.f64 c #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))) (*.f64 c #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) c) |
(*.f64 (/.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) (/.f64 #s(literal 2 binary64) c)) |
(*.f64 (/.f64 #s(literal 2 binary64) c) (/.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) (pow.f64 (/.f64 c (*.f64 c #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b b))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b a)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 #s(literal -2 binary64) (/.f64 c b)))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 a b) (/.f64 a b))))) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 #s(literal -2 binary64) (/.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 c #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))) c) #s(literal -1 binary64)) (pow.f64 (/.f64 c #s(literal 2 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c))) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c)) (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c)) |
(fma.f64 c (/.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c))) |
(fma.f64 c (/.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 b c) c) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c) (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c)) |
(fma.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 a b) (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c)) |
(fma.f64 (/.f64 b c) (*.f64 c #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) c (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c))) |
(fma.f64 (/.f64 a b) (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c)) |
(fma.f64 (/.f64 #s(literal 2 binary64) (/.f64 b a)) c (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c)) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 b c) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c))) |
(fma.f64 (*.f64 c (/.f64 b c)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c))) |
(fma.f64 (*.f64 c (/.f64 a b)) #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 c c))) (*.f64 (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c) (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c))) (*.f64 (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c) (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c)))) (-.f64 (/.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) c) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) c)))) |
(/.f64 (*.f64 c (+.f64 (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b b))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b a)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 #s(literal -2 binary64) (/.f64 c b)))))) |
(/.f64 (*.f64 c (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 a b) (/.f64 a b))))) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 #s(literal -2 binary64) (/.f64 a b)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b b)))) c) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b a)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 #s(literal -2 binary64) (/.f64 c b)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 a b) (/.f64 a b)))) c) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 #s(literal -2 binary64) (/.f64 a b)))) |
(/.f64 (+.f64 (*.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) b) (*.f64 c (*.f64 c (*.f64 a #s(literal 2 binary64))))) (*.f64 c b)) |
(/.f64 (+.f64 (*.f64 (*.f64 c (*.f64 b #s(literal -2 binary64))) b) (*.f64 c (*.f64 (*.f64 a #s(literal 2 binary64)) c))) (*.f64 c b)) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b #s(literal -2 binary64)) c) b) (*.f64 c (*.f64 c (*.f64 a #s(literal 2 binary64))))) (*.f64 c b)) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b #s(literal -2 binary64)) c) b) (*.f64 c (*.f64 (*.f64 a #s(literal 2 binary64)) c))) (*.f64 c b)) |
(/.f64 (+.f64 (*.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) c) (*.f64 b (*.f64 c (*.f64 b #s(literal -2 binary64))))) (*.f64 b c)) |
(/.f64 (+.f64 (*.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) c) (*.f64 b (*.f64 (*.f64 b #s(literal -2 binary64)) c))) (*.f64 b c)) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) c) c) (*.f64 b (*.f64 c (*.f64 b #s(literal -2 binary64))))) (*.f64 b c)) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) c) c) (*.f64 b (*.f64 (*.f64 b #s(literal -2 binary64)) c))) (*.f64 b c)) |
(*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) |
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))) c) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) |
b |
(exp.f64 (log.f64 b)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 b)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(fabs.f64 b) |
(fabs.f64 (-.f64 #s(literal 0 binary64) b)) |
(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(fabs.f64 (-.f64 b #s(literal 0 binary64))) |
(sqrt.f64 (*.f64 b b)) |
(pow.f64 b #s(literal 1 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 b) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 (sqrt.f64 b) (sqrt.f64 b)) |
(*.f64 (pow.f64 (sqrt.f64 b) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 b) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 b)) (sqrt.f64 (pow.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 b #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 b b))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -1/2 binary64))) |
(fabs.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64)))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64)))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
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(/.f64 (+.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) c)) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -2 binary64)))) (*.f64 b (-.f64 #s(literal 0 binary64) c))) |
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 c b)) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 c b))) |
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 c (*.f64 b #s(literal -2 binary64))))) |
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a #s(literal 2 binary64))) c) (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 b #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) c)) |
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) c)) (*.f64 (-.f64 #s(literal 0 binary64) b) (neg.f64 (*.f64 b #s(literal -2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) c))) |
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) c)) (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) b)))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) c))) |
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) c)) (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) c))) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 c b)) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 c b))) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 c (*.f64 b #s(literal -2 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a)) c) (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 b #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) c)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) c)) (*.f64 (-.f64 #s(literal 0 binary64) b) (neg.f64 (*.f64 b #s(literal -2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) c))) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) c)) (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) b)))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) c))) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) c)) (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) c))) |
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (/.f64 c b)) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 c b))) |
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 c (*.f64 b #s(literal -2 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) c) (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 b #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) c)) |
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) c)) (*.f64 (-.f64 #s(literal 0 binary64) b) (neg.f64 (*.f64 b #s(literal -2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) c))) |
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) c)) (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) b)))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) c))) |
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) c)) (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) c))) |
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b a)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 #s(literal -2 binary64) (/.f64 c b))))) (+.f64 (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 #s(literal -2 binary64) (/.f64 a b))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 a b) (/.f64 a b))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 b a)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 #s(literal -2 binary64) (/.f64 c b))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 b c) (/.f64 b c))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 a b) (/.f64 a b)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 #s(literal -2 binary64) (/.f64 a b))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 1 binary64))) |
(fabs.f64 (*.f64 b b)) |
(fabs.f64 (neg.f64 (*.f64 b b))) |
(fabs.f64 (*.f64 b (-.f64 #s(literal 0 binary64) b))) |
(fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) b)) |
(sqrt.f64 (*.f64 b (*.f64 b (*.f64 b b)))) |
(pow.f64 b #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 b) #s(literal 4 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1/2 binary64)) |
(*.f64 b b) |
(*.f64 (sqrt.f64 b) (pow.f64 b #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 b) (pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 b) (fabs.f64 (pow.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (sqrt.f64 b)) |
(*.f64 (pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 b)) |
(*.f64 (fabs.f64 (pow.f64 b #s(literal 3/2 binary64))) (sqrt.f64 b)) |
| 1× | egg-herbie |
| 8928× | *-lowering-*.f32 |
| 8928× | *-lowering-*.f64 |
| 4564× | +-lowering-+.f64 |
| 4564× | +-lowering-+.f32 |
| 1532× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 905 | 8752 |
| 1 | 3107 | 8365 |
| 0 | 9044 | 8365 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (- (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b 7))) (/ (pow a 2) (pow b 5)))) (/ a (pow b 3)))) (/ 1 b))) |
(/ b a) |
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c))) |
(- (+ (/ b a) (/ (pow b 5) (* (pow a 3) (pow c 2)))) (* -1 (/ (pow b 3) (* (pow a 2) c)))) |
(- (+ (/ b a) (/ (pow b 7) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) c))) (* -1 (/ (pow b 5) (* (pow a 3) (pow c 2)))))) |
(/ b a) |
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c))) |
(+ (* -1 (/ (- (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)) (/ b a)) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow b 7) (* (pow a 4) c)) (* -1 (/ (pow b 5) (pow a 3)))) c)) (/ (pow b 3) (pow a 2))) c)) (/ b a)) |
(/ b a) |
(* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c)))) |
(* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a))) |
(* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -1 c) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (- (+ (* -1 c) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))) (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (- (+ c (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (- (+ c (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (- (* -1 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3))))) |
(+ (* -1 (/ c b)) (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b 7))) (/ (pow c 3) (pow b 5)))) (/ (pow c 2) (pow b 3))))) |
(/ b a) |
(/ (+ b (/ (pow b 3) (* a c))) a) |
(/ (- (+ b (/ (pow b 5) (* (pow a 2) (pow c 2)))) (* -1 (/ (pow b 3) (* a c)))) a) |
(/ (- (+ b (/ (pow b 7) (* (pow a 3) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* a c))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) a) |
(/ b a) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (/ (pow b 5) (* a (pow c 2))) (* -1 (/ (pow b 3) c))) a))) a)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 7) (* a (pow c 3)))) (/ (pow b 5) (pow c 2))) a)) (* -1 (/ (pow b 3) c))) a))) a)) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* 2 (/ (* a c) b)) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (- (* 2 (/ a b)) (* 2 (/ b c))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (- (* 2 (/ a b)) (* 2 (/ b c))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (- (* 2 (/ a b)) (* 2 (/ b c))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (- (* 2 (/ a b)) (* 2 (/ b c))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (- (* -2 (/ b c)) (* -2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (- (* -2 (/ b c)) (* -2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (- (* -2 (/ b c)) (* -2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (- (* -2 (/ b c)) (* -2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(if (>= b 0) (* -1 (/ b a)) (/ 2 (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
b |
b |
b |
b |
b |
b |
b |
b |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4))))))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4))))))))) |
(/ 1 b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b) |
(/ -1 b) |
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b)) |
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b)) |
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(* -1 (/ c (pow b 3))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* 2 (/ a b)) |
(/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b) |
(/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b) |
(/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b) |
(* -2 (/ b c)) |
(* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* -2 (/ b c)) |
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -2 (/ b c)) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
(* 2 (/ a b)) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(* 2 (/ a b)) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(* -2 (/ b c)) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(* 2 (/ a b)) |
(* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b)))) |
(* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b)))) |
(* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b)))) |
(* 2 (/ a b)) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
| Outputs |
|---|
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
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(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))))) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
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(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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))) #s(literal 1/512 binary64)))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f64 b (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(+.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))) (-.f64 #s(literal 0 binary64) a)) |
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
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(+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/256 binary64) a) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (*.f64 c c)))))) (*.f64 a (*.f64 a a)))) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(* -1 (/ c (pow b 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* 2 (/ a b)) |
(/.f64 (*.f64 a #s(literal 2 binary64)) b) |
(/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b) |
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) c) (*.f64 a #s(literal 2 binary64))) b) |
(/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b) |
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) c) (*.f64 a #s(literal 2 binary64))) b) |
(/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b) |
(/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) c) (*.f64 a #s(literal 2 binary64))) b) |
(* -2 (/ b c)) |
(/.f64 (*.f64 b #s(literal -2 binary64)) c) |
(* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c))) |
(* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c))) |
(* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c))) |
(* -2 (/ b c)) |
(/.f64 (*.f64 b #s(literal -2 binary64)) c) |
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b)))))) |
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b)))))) |
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b)))))) |
(* -2 (/ b c)) |
(/.f64 (*.f64 b #s(literal -2 binary64)) c) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)) (*.f64 b #s(literal -2 binary64))) c) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)) (*.f64 b #s(literal -2 binary64))) c) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) b)) (*.f64 b #s(literal -2 binary64))) c) |
(* 2 (/ a b)) |
(/.f64 (*.f64 a #s(literal 2 binary64)) b) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(* 2 (/ a b)) |
(/.f64 (*.f64 a #s(literal 2 binary64)) b) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(* -2 (/ b c)) |
(/.f64 (*.f64 b #s(literal -2 binary64)) c) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(* 2 (/ a b)) |
(/.f64 (*.f64 a #s(literal 2 binary64)) b) |
(* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b)))) |
(*.f64 a (+.f64 (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) b))) |
(* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b)))) |
(*.f64 a (+.f64 (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) b))) |
(* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b)))) |
(*.f64 a (+.f64 (*.f64 (/.f64 b (*.f64 a c)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) b))) |
(* 2 (/ a b)) |
(/.f64 (*.f64 a #s(literal 2 binary64)) b) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))) (/.f64 #s(literal -2 binary64) b)))) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))) (/.f64 #s(literal -2 binary64) b)))) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a c))) (/.f64 #s(literal -2 binary64) b)))) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
Compiled 43515 to 3805 computations (91.3% saved)
41 alts after pruning (36 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1420 | 16 | 1436 |
| Fresh | 4 | 20 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1427 | 41 | 1468 |
| Status | Accuracy | Program |
|---|---|---|
| 50.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) | |
| 55.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) | |
| 41.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| 50.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| 72.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal -1/2 binary64))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b))) | |
| 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b))) | |
| 73.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64))) b))) | |
| 48.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| 64.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) | |
| 58.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) c)) | |
| 49.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b))) | |
| 48.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b))) | |
| 43.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b))) | |
| ✓ | 57.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 b b)) b))) |
| ✓ | 56.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) |
| 51.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 b a)) (*.f64 c #s(literal 2 binary64))) (*.f64 c (/.f64 b a)))))) | |
| 36.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 a #s(literal 2 binary64)) b)))) | |
| 64.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c)))))) | |
| 64.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) c)) (*.f64 b b)) #s(literal -2 binary64))))) | |
| 45.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 b b) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) c))) | |
| 45.6% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (*.f64 b (*.f64 b b)))) | |
| 36.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b a)) | |
| 64.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) | |
| 49.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c)))))) | |
| 63.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (*.f64 c (/.f64 #s(literal -2 binary64) b))))) | |
| 39.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 (*.f64 (*.f64 b b) c) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b (*.f64 b b)))) | |
| 55.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)) | |
| 56.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) c)) | |
| 64.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) c)) | |
| 64.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c)))) | |
| ✓ | 65.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
| 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) | |
| ✓ | 73.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| 64.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 (/.f64 c b))) | |
| 64.8% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) | |
| 60.2% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) | |
| 64.5% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))))) | |
| ✓ | 73.1% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| 64.9% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| 63.8% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) | |
| 56.4% | (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) |
Compiled 3033 to 1003 computations (66.9% saved)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 a #s(literal 2 binary64)) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 b b) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) c))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (*.f64 c (/.f64 #s(literal -2 binary64) b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 b a)) (*.f64 c #s(literal 2 binary64))) (*.f64 c (/.f64 b a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 (*.f64 (*.f64 b b) c) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) (*.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))) (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 b b)) b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (pow.f64 (/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal -1/2 binary64))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) b))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
4 calls:
| 35.0ms | b |
| 22.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 19.0ms | a |
| 17.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 2 | a |
| 90.6% | 3 | b |
| 75.4% | 2 | c |
| 90.6% | 5 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 53 to 29 computations (45.3% saved)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 a #s(literal 2 binary64)) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 b b) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) c))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (*.f64 c (/.f64 #s(literal -2 binary64) b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 b a)) (*.f64 c #s(literal 2 binary64))) (*.f64 c (/.f64 b a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 (*.f64 (*.f64 b b) c) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) (*.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))) (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 b b)) b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (pow.f64 (/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 a #s(literal 2 binary64)) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 b b) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) c))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (*.f64 c (/.f64 #s(literal -2 binary64) b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 b a)) (*.f64 c #s(literal 2 binary64))) (*.f64 c (/.f64 b a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 (*.f64 (*.f64 b b) c) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) (*.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))) (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 b b)) b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 a #s(literal 2 binary64)) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 b b) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) c))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (*.f64 c (/.f64 #s(literal -2 binary64) b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 b a)) (*.f64 c #s(literal 2 binary64))) (*.f64 c (/.f64 b a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 (*.f64 (*.f64 b b) c) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) (*.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))) (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 b b)) b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 a #s(literal 2 binary64)) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 b b) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) c))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (*.f64 c (/.f64 #s(literal -2 binary64) b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 b a)) (*.f64 c #s(literal 2 binary64))) (*.f64 c (/.f64 b a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 (*.f64 (*.f64 b b) c) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) (*.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))) (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 b b)) b))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 3 | b |
Compiled 4 to 3 computations (25% saved)
Total -38.1b remaining (-170%)
Threshold costs -38.1b (-170%)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) a) b) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 a b)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 a #s(literal 2 binary64)) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 b b) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) c))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a))))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) c)) (*.f64 b b)) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) (*.f64 #s(literal 2 binary64) (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (/.f64 c b)) (/.f64 #s(literal 2 binary64) (/.f64 b a)))) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c (/.f64 #s(literal -2 binary64) b)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (*.f64 c (/.f64 #s(literal -2 binary64) b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 c (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 b a)) (*.f64 c #s(literal 2 binary64))) (*.f64 c (/.f64 b a)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (*.f64 (/.f64 (*.f64 (*.f64 b b) c) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b (*.f64 b b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) (*.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))) (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 b b)) b))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
3 calls:
| 14.0ms | b |
| 11.0ms | a |
| 11.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 1 | c |
| 65.0% | 1 | a |
| 65.0% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 5.377000256370867e+31 | 1.5771642643921763e+33 |
| 16.0ms | -2.2531529412016513e+142 | -9.767878285600755e+141 |
| 26.0ms | 192× | 0 | valid |
| 2.0ms | 14× | 0 | invalid |
Compiled 916 to 527 computations (42.5% saved)
ival-mult: 6.0ms (35.2% of total)ival-div: 3.0ms (17.6% of total)ival-sub: 2.0ms (11.7% of total)ival-sqrt: 2.0ms (11.7% of total)ival-add: 1.0ms (5.9% of total)ival-if: 1.0ms (5.9% of total)ival->=: 1.0ms (5.9% of total)ival-neg: 1.0ms (5.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 5.377000256370867e+31 | 1.5771642643921763e+33 |
| 4.0ms | -2.2531529412016513e+142 | -9.767878285600755e+141 |
| 19.0ms | 128× | 0 | valid |
| 1.0ms | 6× | 0 | invalid |
Compiled 608 to 339 computations (44.2% saved)
ival-mult: 4.0ms (32.9% of total)ival-div: 2.0ms (16.4% of total)ival-if: 2.0ms (16.4% of total)ival-add: 1.0ms (8.2% of total)ival-sub: 1.0ms (8.2% of total)ival-sqrt: 1.0ms (8.2% of total)ival->=: 1.0ms (8.2% of total)ival-neg: 1.0ms (8.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 5.377000256370867e+31 | 1.5771642643921763e+33 |
| 14.0ms | -2.2531529412016513e+142 | -9.767878285600755e+141 |
| 24.0ms | 192× | 0 | valid |
| 1.0ms | 12× | 0 | invalid |
Compiled 892 to 503 computations (43.6% saved)
ival-mult: 6.0ms (34.2% of total)ival-div: 2.0ms (11.4% of total)ival-sub: 2.0ms (11.4% of total)ival->=: 2.0ms (11.4% of total)ival-add: 1.0ms (5.7% of total)ival-if: 1.0ms (5.7% of total)ival-sqrt: 1.0ms (5.7% of total)ival-neg: 1.0ms (5.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 5.377000256370867e+31 | 1.5771642643921763e+33 |
| 3.0ms | -2.2531529412016513e+142 | -9.767878285600755e+141 |
| 15.0ms | 128× | 0 | valid |
| 2.0ms | 15× | 0 | invalid |
Compiled 608 to 339 computations (44.2% saved)
ival-mult: 4.0ms (34.9% of total)ival-div: 2.0ms (17.5% of total)ival-add: 1.0ms (8.7% of total)ival-if: 1.0ms (8.7% of total)ival-sub: 1.0ms (8.7% of total)ival-sqrt: 1.0ms (8.7% of total)ival->=: 1.0ms (8.7% of total)ival-neg: 1.0ms (8.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 5.377000256370867e+31 | 1.5771642643921763e+33 |
| 38.0ms | -2.0087981029890238e-38 | -7.467946168884073e-56 |
| 58.0ms | 272× | 0 | valid |
| 5.0ms | 44× | 0 | invalid |
Compiled 907 to 589 computations (35.1% saved)
ival-mult: 33.0ms (66.3% of total)ival-div: 4.0ms (8% of total)ival-sub: 3.0ms (6% of total)ival-sqrt: 3.0ms (6% of total)ival-add: 2.0ms (4% of total)ival-if: 2.0ms (4% of total)ival-neg: 2.0ms (4% of total)const: 1.0ms (2% of total)ival->=: 1.0ms (2% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 402× | distribute-lft-neg-in_binary64 |
| 306× | neg-mul-1_binary64 |
| 220× | neg-sub0_binary64 |
| 194× | cancel-sign-sub_binary64 |
| 192× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 469 |
| 1 | 120 | 469 |
| 2 | 147 | 469 |
| 3 | 182 | 469 |
| 4 | 211 | 464 |
| 5 | 264 | 464 |
| 6 | 325 | 464 |
| 7 | 477 | 464 |
| 8 | 691 | 464 |
| 9 | 893 | 464 |
| 10 | 1098 | 464 |
| 11 | 1250 | 464 |
| 12 | 1336 | 464 |
| 13 | 1377 | 464 |
| 14 | 1393 | 464 |
| 15 | 1407 | 464 |
| 16 | 1413 | 464 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -22499999999999999451198128803706566018876762695253277563294729676401992488726876705197548273289365117920281921081879917411910014524256589709312 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1450000000000000122845348237410304 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -10800000000000000386419561385345134402751670502256816223296409785879966200170052525046692188122400656595736752777015976933781876050605310476288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -7404770507945427/205688069665150755269371147819668813122841983204197482918576128 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -22499999999999999451198128803706566018876762695253277563294729676401992488726876705197548273289365117920281921081879917411910014524256589709312 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1450000000000000122845348237410304 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -22499999999999999451198128803706566018876762695253277563294729676401992488726876705197548273289365117920281921081879917411910014524256589709312 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (-.f64 (-.f64 #s(literal 0 binary64) #s(literal 2 binary64)) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1450000000000000122845348237410304 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (-.f64 (-.f64 #s(literal 0 binary64) #s(literal 2 binary64)) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -10800000000000000386419561385345134402751670502256816223296409785879966200170052525046692188122400656595736752777015976933781876050605310476288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -10800000000000000386419561385345134402751670502256816223296409785879966200170052525046692188122400656595736752777015976933781876050605310476288 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (-.f64 (-.f64 #s(literal 0 binary64) #s(literal 2 binary64)) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (-.f64 (-.f64 #s(literal 0 binary64) #s(literal 2 binary64)) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -7404770507945427/205688069665150755269371147819668813122841983204197482918576128 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (<=.f64 b #s(literal -7404770507945427/205688069665150755269371147819668813122841983204197482918576128 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b (-.f64 (-.f64 #s(literal 0 binary64) #s(literal 2 binary64)) (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 b b))))))) (if (<=.f64 b #s(literal 1550000000000000002110720875429888 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) a) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 c (-.f64 #s(literal 0 binary64) b))) |
| 8836× | *-lowering-*.f32 |
| 8836× | *-lowering-*.f64 |
| 7036× | *-lowering-*.f32 |
| 7036× | *-lowering-*.f64 |
| 6578× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1253 | 16080 |
| 1 | 4645 | 15012 |
| 0 | 8532 | 15012 |
| 0 | 820 | 5874 |
| 1 | 2922 | 5529 |
| 0 | 9062 | 5529 |
| 0 | 20 | 98 |
| 1 | 86 | 91 |
| 2 | 699 | 91 |
| 0 | 8702 | 91 |
| 0 | 1393 | 13076 |
| 1 | 4970 | 12277 |
| 0 | 9296 | 12277 |
| 0 | 20 | 36 |
| 1 | 47 | 35 |
| 2 | 122 | 33 |
| 3 | 299 | 32 |
| 4 | 572 | 32 |
| 5 | 1211 | 32 |
| 6 | 3538 | 32 |
| 7 | 6267 | 32 |
| 8 | 7418 | 32 |
| 0 | 8039 | 32 |
| 0 | 47 | 272 |
| 1 | 290 | 254 |
| 2 | 2843 | 254 |
| 0 | 8414 | 254 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1663 to 819 computations (50.8% saved)
Compiled 1040 to 208 computations (80% saved)
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