
Time bar (total: 10.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 2.3% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 11.3% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 21.1% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 28% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 40.1% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 1.5s | 5 459× | 1 | valid |
| 514.0ms | 2 797× | 0 | valid |
| 182.0ms | 1 319× | 0 | invalid |
const: 390.0ms (22.6% of total)ival-mult: 389.0ms (22.5% of total)ival-<: 169.0ms (9.8% of total)adjust: 163.0ms (9.4% of total)ival-sub: 149.0ms (8.6% of total)ival-div: 138.0ms (8% of total)ival-add: 119.0ms (6.9% of total)ival-sqrt: 110.0ms (6.4% of total)ival-neg: 53.0ms (3.1% of total)ival-and: 36.0ms (2.1% of total)exact: 6.0ms (0.3% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 233 | 0 | - | 4 | (0.009451836985514678 10.190985854621001 80.51420181770075) | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 229 | 10 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 228 | 5 |
| - | 1 | 22 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 228 | 5 | 0 |
| - | 1 | 5 | 17 |
| number | freq |
|---|---|
| 0 | 27 |
| 1 | 229 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 98.0ms | 358× | 1 | valid |
| 13.0ms | 154× | 0 | valid |
Compiled 153 to 40 computations (73.9% saved)
ival-mult: 16.0ms (32.6% of total)adjust: 10.0ms (20.4% of total)ival-div: 6.0ms (12.2% of total)ival-sqrt: 6.0ms (12.2% of total)ival-add: 4.0ms (8.2% of total)ival-sub: 4.0ms (8.2% of total)ival-neg: 2.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 156 | 151 |
| 2 | 460 | 151 |
| 3 | 896 | 151 |
| 4 | 1339 | 151 |
| 5 | 1537 | 151 |
| 6 | 1643 | 151 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 17 |
| 2 | 89 | 17 |
| 3 | 180 | 17 |
| 4 | 290 | 17 |
| 5 | 379 | 17 |
| 6 | 415 | 17 |
| 7 | 463 | 17 |
| 0 | 463 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 66 |
| 2 | 89 | 66 |
| 3 | 180 | 66 |
| 4 | 290 | 66 |
| 5 | 379 | 66 |
| 6 | 415 | 66 |
| 7 | 463 | 66 |
| 0 | 463 | 62 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2734375 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.28278248993272953 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.32650375976844204 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 30.174916955519993 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 42.0ms | 179× | 1 | valid |
| 6.0ms | 77× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-sub: 14.0ms (39% of total)ival-mult: 7.0ms (19.5% of total)adjust: 5.0ms (13.9% of total)ival-div: 3.0ms (8.4% of total)ival-sqrt: 3.0ms (8.4% of total)ival-add: 2.0ms (5.6% of total)ival-neg: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 3 (* a c)) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | -inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (* (* 3 a) c)) |
| 2.0ms | b | @ | inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (* (* 3 a) c)) |
| 2.0ms | a | @ | inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (* (* 3 a) c)) |
| 2.0ms | a | @ | 0 | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (* (* 3 a) c)) |
| 2.0ms | b | @ | -inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (* (* 3 a) c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 1964 |
| 1 | 1594 | 1948 |
| 2 | 6584 | 1948 |
| 0 | 8592 | 1850 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 3 (* a c)) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
| Outputs |
|---|
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* -3 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 (neg.f64 b) b) a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64)) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))))) (neg.f64 a)) b) (neg.f64 a)))) |
(- (pow b 2) (* 3 (* a c))) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 #s(literal -1/3 binary64) a)) b)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 b #s(literal -3 binary64)) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) #s(literal -1/24 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64))) b (/.f64 #s(literal -1/3 binary64) a)) b)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal 1 binary64)) b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 b b) #s(literal -3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) b) #s(literal 1 binary64)) b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(* -1 b) |
(neg.f64 b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) a)) (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -1/2 binary64) c)))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) a (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 4 binary64))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))))) b) |
(* -2/3 (/ b a)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 c b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b)) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 c b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))) (neg.f64 b)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64))) (neg.f64 b)) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)))) (neg.f64 b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)))))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b c)))) c) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b) (neg.f64 c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 65 | 46 |
| 2 | 483 | 45 |
| 3 | 5833 | 44 |
| 0 | 8853 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))))) |
(/.f64 (pow.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (hypot.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64))) (hypot.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 18 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 b #s(literal 12 binary64))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c (*.f64 b b)) a) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3 binary64) a))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(neg.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b))) |
(neg.f64 (fma.f64 (neg.f64 b) b (*.f64 c (*.f64 a #s(literal 3 binary64))))) |
(neg.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 (neg.f64 c) a) #s(literal 3 binary64) (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 (neg.f64 c) a) #s(literal 3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 (neg.f64 c) #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 (neg.f64 c) #s(literal 3 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 c (neg.f64 a)) #s(literal 3 binary64) (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 c (neg.f64 a)) #s(literal 3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 (neg.f64 b) b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(fma.f64 (neg.f64 (*.f64 c #s(literal 3 binary64))) a (*.f64 (neg.f64 b) b)) |
(fma.f64 (neg.f64 (*.f64 c #s(literal 3 binary64))) a (*.f64 b b)) |
(fma.f64 (neg.f64 (*.f64 c a)) #s(literal 3 binary64) (*.f64 (neg.f64 b) b)) |
(fma.f64 (neg.f64 (*.f64 c a)) #s(literal 3 binary64) (*.f64 b b)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 (neg.f64 c)) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 c) (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 c (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 c #s(literal 3 binary64)) (neg.f64 a) (*.f64 (neg.f64 b) b)) |
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(fma.f64 (neg.f64 b) (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(fma.f64 (neg.f64 b) (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(fma.f64 (neg.f64 b) (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(fma.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 b)) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(neg.f64 b) |
(*.f64 (*.f64 c #s(literal 3 binary64)) a) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 a #s(literal 3 binary64)) c) |
(*.f64 a (*.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
Compiled 15 692 to 1 902 computations (87.9% saved)
25 alts after pruning (25 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 404 | 25 | 429 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 405 | 25 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 91.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 88.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) a (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 4 binary64))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 91.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 91.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 88.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
| ▶ | 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 66.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 33.3% | (+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
| ▶ | 91.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 88.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 88.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))))) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 91.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) a)) (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -1/2 binary64) c)))) b)) | |
| 91.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 88.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 83.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 66.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
Compiled 1 990 to 1 374 computations (31% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) | |
| cost-diff | 2 | (+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 2 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 717 |
| 0 | 126 | 717 |
| 1 | 236 | 717 |
| 2 | 672 | 711 |
| 3 | 3324 | 701 |
| 0 | 8283 | 691 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 c c) |
#s(literal -3/8 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
c |
(*.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(*.f64 b b) |
b |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) |
(*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
a |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
#s(literal -9/8 binary64) |
c |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 a b) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 a #s(literal -27/16 binary64)) |
a |
#s(literal -27/16 binary64) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 c #s(literal 3 binary64)) |
c |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 #s(literal -9/8 binary64) (*.f64 c c)) |
#s(literal -9/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
#s(literal -3/2 binary64) |
(/.f64 c b) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) c) c)) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) c) c)) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) c) c)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) c) c) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(*.f64 c c) |
#s(literal -3/8 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (/.f64 b #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b))) #s(literal -3 binary64))) a) |
(/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b)) |
c |
(*.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(*.f64 b b) |
b |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 b #s(literal 3 binary64)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -3/2 binary64) b))) c)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -3/2 binary64) b))) c)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(*.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -3/2 binary64) b))) c) |
(fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) |
(*.f64 a (fma.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -3/2 binary64) b))) |
(*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) |
(*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a) |
a |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
#s(literal -9/8 binary64) |
c |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 a b)) |
(/.f64 a b) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (*.f64 (/.f64 #s(literal -9/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 c c))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (*.f64 (/.f64 #s(literal -9/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 c c))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (*.f64 (/.f64 #s(literal -9/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 c c))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (*.f64 (/.f64 #s(literal -9/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 c c))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (*.f64 (/.f64 #s(literal -9/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 c c))) |
(*.f64 a #s(literal -27/16 binary64)) |
(*.f64 #s(literal -27/16 binary64) a) |
a |
#s(literal -27/16 binary64) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 c #s(literal 3 binary64)) |
c |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal -9/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 c c)) |
(*.f64 #s(literal -9/8 binary64) (*.f64 c c)) |
#s(literal -9/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
#s(literal -3/2 binary64) |
(/.f64 c b) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.29296875 | (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.32650375976844204 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 0.38671875 | (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 7.010610043563687 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) | |
| accuracy | 0.2578125 | (/.f64 a (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.28515625 | (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) | |
| accuracy | 0.32650375976844204 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 10.717510316781356 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) | |
| accuracy | 0.1796875 | (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) | |
| accuracy | 0.28515625 | (/.f64 b (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 0.3873825195368841 | (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) | |
| accuracy | 30.542123519367276 | (+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| accuracy | 0.0 | (/.f64 c b) | |
| accuracy | 0.0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| accuracy | 21.39644377445345 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.34994125976844204 | (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.36556625976844204 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.36947250976844204 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) | |
| accuracy | 5.133266396112135 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 216.0ms | 182× | 1 | valid |
| 36.0ms | 74× | 0 | valid |
Compiled 589 to 74 computations (87.4% saved)
ival-mult: 81.0ms (39.9% of total)ival-div: 31.0ms (15.3% of total)adjust: 30.0ms (14.8% of total)ival-pow: 25.0ms (12.3% of total)ival-add: 21.0ms (10.3% of total)ival-sqrt: 6.0ms (3% of total)const: 4.0ms (2% of total)ival-sub: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(/ (+ (* -1/3 b) (* 1/3 b)) a) |
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* 3/8 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* 3/8 (/ (pow c 2) (pow b 3))))))))) a) |
(* -1/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* -1/3 b)) a) |
(/ (+ (* -1/3 b) (* a (+ (* -1/2 (/ c b)) (* 3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* -1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* 3/8 (/ (pow c 2) (pow b 3)))))))) a) |
b |
(+ b (* 3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))))) |
(+ b (* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))))) |
(pow b 2) |
(+ (* 3 (* a c)) (pow b 2)) |
(* -3/2 (/ a b)) |
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(* 1/3 (/ b a)) |
(/ a (pow b 3)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* 1/3 (/ b a))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (/ b a)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (* 1/3 (/ b a))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3))))))) |
(* (sqrt (* a c)) (sqrt 3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3)))))) |
(* 3 (* a c)) |
(* a (+ (* 3 c) (/ (pow b 2) a))) |
(* -9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (+ (* -3 c) (* -1 (/ (pow b 2) a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (pow a 3) (+ (* 9/8 (/ (pow c 2) (* a (pow b 3)))) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))) a)) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))) a)))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ c b) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt 3)))) (* 1/3 (/ 1 a))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (+ (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* (pow b 2) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3))))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* (pow b 2) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt 3)))) (* (pow b 2) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt 3) 3))))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3))) |
(+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3))))))) |
(+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt 3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt 3) 5))))))))) |
(/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* -9/8 (* (pow a 2) (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* -9/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))))) (pow b 5)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 3) (pow b 5)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 c) (* 3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* 3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (* 3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* b (- (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))) |
(* b (- (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4)))) (* 1/3 (/ 1 a)))) |
(* b (- (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4))))) (* 1/3 (/ 1 a)))) |
(* b (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))) |
(* (pow b 2) (+ 1 (* 3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* 2/3 (/ b a)) |
(* -1 (* b (- (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4)))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4))))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (- (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4)))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4))))) (* 1/3 (/ 1 a))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(+ (* -1/3 (/ b a)) (* 1/3 (/ b a))) |
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* 3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
(+ (* -1/2 (/ c b)) (* -1/3 (/ b a))) |
(+ (* -1/3 (/ b a)) (* c (- (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* -1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* 3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(+ b (* c (+ (* -9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) |
(+ b (* c (+ (* 3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))) |
(+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (* 1/3 (/ b (* a c))))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3))))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))))) |
(* c (+ (* 3 a) (/ (pow b 2) c))) |
(* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c)))) (/ 3/2 (* b (pow c 2))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* -1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 (/ b a))) c)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3))))) c)) (* 1/3 (/ b a))) c)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))))))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3))))))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (+ (* -3 a) (* -1 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ a (* (pow b 3) c))) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))) c)) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | b | @ | 0 | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (sqrt (+ (* c (* a 3)) (* b b))) (+ (* c (* a 3)) (* b b)) (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (/ b (* a 3)) (* (/ a b) -3/2) (/ a (pow b 3)) (/ (* -9/8 (* c c)) (pow b 3)) (/ (pow c 3) (pow b 5))) |
| 11.0ms | b | @ | inf | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (sqrt (+ (* c (* a 3)) (* b b))) (+ (* c (* a 3)) (* b b)) (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (/ b (* a 3)) (* (/ a b) -3/2) (/ a (pow b 3)) (/ (* -9/8 (* c c)) (pow b 3)) (/ (pow c 3) (pow b 5))) |
| 10.0ms | c | @ | inf | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (sqrt (+ (* c (* a 3)) (* b b))) (+ (* c (* a 3)) (* b b)) (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (/ b (* a 3)) (* (/ a b) -3/2) (/ a (pow b 3)) (/ (* -9/8 (* c c)) (pow b 3)) (/ (pow c 3) (pow b 5))) |
| 10.0ms | c | @ | -inf | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (sqrt (+ (* c (* a 3)) (* b b))) (+ (* c (* a 3)) (* b b)) (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (/ b (* a 3)) (* (/ a b) -3/2) (/ a (pow b 3)) (/ (* -9/8 (* c c)) (pow b 3)) (/ (pow c 3) (pow b 5))) |
| 9.0ms | b | @ | -inf | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (sqrt (+ (* c (* a 3)) (* b b))) (+ (* c (* a 3)) (* b b)) (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/ (* (* c c) -3/8) (pow b 3)) (/ (* (pow c 3) -9/16) (pow b 5)) (/ b (* a 3)) (* (/ a b) -3/2) (/ a (pow b 3)) (/ (* -9/8 (* c c)) (pow b 3)) (/ (pow c 3) (pow b 5))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1224 | 7415 |
| 1 | 4360 | 7411 |
| 0 | 8858 | 7061 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(/ (+ (* -1/3 b) (* 1/3 b)) a) |
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* 3/8 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* 3/8 (/ (pow c 2) (pow b 3))))))))) a) |
(* -1/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* -1/3 b)) a) |
(/ (+ (* -1/3 b) (* a (+ (* -1/2 (/ c b)) (* 3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* -1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* 3/8 (/ (pow c 2) (pow b 3)))))))) a) |
b |
(+ b (* 3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))))) |
(+ b (* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))))) |
(pow b 2) |
(+ (* 3 (* a c)) (pow b 2)) |
(* -3/2 (/ a b)) |
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(* 1/3 (/ b a)) |
(/ a (pow b 3)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* 1/3 (/ b a))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (/ b a)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (* 1/3 (/ b a))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3))))))) |
(* (sqrt (* a c)) (sqrt 3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3)))))) |
(* 3 (* a c)) |
(* a (+ (* 3 c) (/ (pow b 2) a))) |
(* -9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (+ (* -3 c) (* -1 (/ (pow b 2) a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (pow a 3) (+ (* 9/8 (/ (pow c 2) (* a (pow b 3)))) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))) a)) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))) a)))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ c b) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt 3)))) (* 1/3 (/ 1 a))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (+ (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* (pow b 2) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3))))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* (pow b 2) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt 3)))) (* (pow b 2) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt 3) 3))))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3))) |
(+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3))))))) |
(+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt 3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt 3) 5))))))))) |
(/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* -9/8 (* (pow a 2) (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* -9/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))))) (pow b 5)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 3) (pow b 5)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 c) (* 3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* 3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (* 3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* b (- (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))) |
(* b (- (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4)))) (* 1/3 (/ 1 a)))) |
(* b (- (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4))))) (* 1/3 (/ 1 a)))) |
(* b (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))) |
(* (pow b 2) (+ 1 (* 3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* 2/3 (/ b a)) |
(* -1 (* b (- (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4)))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4))))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (- (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4)))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (* 3/8 (/ (* a (pow c 2)) (pow b 4))))) (* 1/3 (/ 1 a))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(+ (* -1/3 (/ b a)) (* 1/3 (/ b a))) |
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* 3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
(+ (* -1/2 (/ c b)) (* -1/3 (/ b a))) |
(+ (* -1/3 (/ b a)) (* c (- (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* -1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* 3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(+ b (* c (+ (* -9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) |
(+ b (* c (+ (* 3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))) |
(+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (* 1/3 (/ b (* a c))))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3))))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))))) |
(* c (+ (* 3 a) (/ (pow b 2) c))) |
(* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c)))) (/ 3/2 (* b (pow c 2))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* -1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 (/ b a))) c)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3))))) c)) (* 1/3 (/ b a))) c)) (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))))))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3))))))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (+ (* -3 a) (* -1 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ a (* (pow b 3) c))) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))) c)) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(/ (+ (* -1/3 b) (* 1/3 b)) a) |
(*.f64 (/.f64 b a) #s(literal 0 binary64)) |
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* 3/8 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/.f64 (fma.f64 b #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* 3/8 (/ (pow c 2) (pow b 3))))))))) a) |
(/.f64 (fma.f64 b #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)) a) |
(* -1/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -1/3 binary64)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* -1/3 b)) a) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/3 binary64) b)) a) |
(/ (+ (* -1/3 b) (* a (+ (* -1/2 (/ c b)) (* 3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 #s(literal -1/3 binary64) b)) a) |
(/ (+ (* -1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* 3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 #s(literal -1/3 binary64) b)) a) |
b |
(+ b (* 3/2 (/ (* a c) b))) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* a (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))))) |
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3/2 binary64) (/.f64 c b))) a b) |
(+ b (* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 3/2 binary64) (/.f64 c b))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* 3 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) |
(* -3/2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b)) a) |
(* -3/2 (/ (* a c) b)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64)))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* -3/2 (/ c b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 #s(literal -3/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64)))) |
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64)))))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal 1/24 binary64))))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3))))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) #s(literal -1/48 binary64) (*.f64 (*.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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal 1/24 binary64)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* -3 a) (* -1 (/ (pow b 2) c))))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) (neg.f64 c)))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 a a) c) (/.f64 (*.f64 #s(literal 27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal 27/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 c)))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ a (* (pow b 3) c))) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 a c) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))) c)) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 27/16 binary64) (/.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 b c))) (neg.f64 c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 525 |
| 0 | 126 | 525 |
| 1 | 431 | 517 |
| 2 | 3254 | 517 |
| 0 | 8282 | 511 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 405/64 binary64) b) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 405/64 binary64) b) (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) b) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 b)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (neg.f64 (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -405/64 binary64)) (neg.f64 b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) b)) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (neg.f64 (pow.f64 c #s(literal 4 binary64)))) (*.f64 (neg.f64 b) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 (neg.f64 b) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (neg.f64 (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) #s(literal -405/64 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -405/64 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (neg.f64 b))) |
(/.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) b) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) b) |
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(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(neg.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 5 binary64)))) |
(+.f64 (cosh.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 5 binary64)))) (sinh.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 5 binary64))))) |
Compiled 34 456 to 3 390 computations (90.2% saved)
46 alts after pruning (45 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 594 | 32 | 626 |
| Fresh | 7 | 13 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 605 | 46 | 651 |
| Status | Accuracy | Program |
|---|---|---|
| 88.5% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (*.f64 (*.f64 #s(literal -9/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) | |
| 52.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 52.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
| 52.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c) c (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c))) (*.f64 #s(literal 3 binary64) a)) | |
| 91.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 #s(literal -3/2 binary64) a) c)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 88.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) a (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 4 binary64))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 91.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 91.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 88.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 a (/.f64 #s(literal -3/2 binary64) b))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 66.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 88.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) |
| 88.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64))) c) (/.f64 #s(literal 3/2 binary64) b)) c)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 66.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a)) b)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b)) a)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 a b))) (*.f64 a a))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 66.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 82.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) c) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) c) #s(literal -3/2 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) c) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 33.9% | (+.f64 #s(approx (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 91.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ▶ | 91.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 88.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 88.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 88.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 83.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 66.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ▶ | 66.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| 91.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))) | |
| 91.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (*.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (neg.f64 a)))))) | |
| 66.6% | #s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a)) | |
| 13.0% | #s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64))) |
Compiled 4 401 to 2 996 computations (31.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1127 |
| 0 | 166 | 1127 |
| 1 | 338 | 1127 |
| 2 | 1133 | 1108 |
| 3 | 5625 | 1102 |
| 0 | 8122 | 1059 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
b |
(*.f64 c c) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) |
#s(literal -3 binary64) |
c |
(/.f64 (*.f64 b b) a) |
(*.f64 b b) |
a |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c) |
(fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) |
(*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
a |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
#s(literal -9/8 binary64) |
c |
(/.f64 (*.f64 #s(literal -3/2 binary64) a) b) |
(*.f64 #s(literal -3/2 binary64) a) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) |
(*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a) |
#s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) |
(*.f64 #s(literal -27/16 binary64) (*.f64 a a)) |
#s(literal -27/16 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 3 binary64)) |
c |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b)) |
(fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) |
(*.f64 (*.f64 b b) c) |
(*.f64 b b) |
b |
#s(literal -3/2 binary64) |
(*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a)) |
#s(literal -9/8 binary64) |
(*.f64 (*.f64 c c) a) |
(*.f64 c c) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) a) c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) a) c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) a) c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) a) c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) |
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) a) c))) (*.f64 b b))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal -135/128 binary64)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) a) c))) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
(*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) a) c))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
b |
(*.f64 c c) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) |
#s(literal -3 binary64) |
c |
(/.f64 (*.f64 b b) a) |
(*.f64 b b) |
a |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -3/2 binary64) b))) c)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -3/2 binary64) b))) c)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c) |
(*.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -3/2 binary64) b))) c) |
(fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) |
(*.f64 a (fma.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -3/2 binary64) b))) |
(*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) |
(*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a) |
a |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
#s(literal -9/8 binary64) |
c |
(/.f64 (*.f64 #s(literal -3/2 binary64) a) b) |
(*.f64 #s(literal -3/2 binary64) a) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (*.f64 c (fma.f64 #s(literal -3/2 binary64) (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -9/8 binary64)))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (*.f64 c (fma.f64 #s(literal -3/2 binary64) (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -9/8 binary64)))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) |
(*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a) |
(*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (*.f64 c (fma.f64 #s(literal -3/2 binary64) (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -9/8 binary64)))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a) |
#s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (*.f64 c (fma.f64 #s(literal -3/2 binary64) (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -9/8 binary64)))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (*.f64 c (fma.f64 #s(literal -3/2 binary64) (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -9/8 binary64)))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 a a) (*.f64 (*.f64 c (fma.f64 #s(literal -3/2 binary64) (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -9/8 binary64)))) (*.f64 b b))) |
(*.f64 #s(literal -27/16 binary64) (*.f64 a a)) |
(*.f64 (*.f64 #s(literal -27/16 binary64) a) a) |
#s(literal -27/16 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 3 binary64)) |
c |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b)) |
(*.f64 (*.f64 c (fma.f64 #s(literal -3/2 binary64) (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -9/8 binary64)))) (*.f64 b b)) |
(fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) |
(*.f64 c (fma.f64 #s(literal -3/2 binary64) (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -9/8 binary64)))) |
(*.f64 (*.f64 b b) c) |
(*.f64 b b) |
b |
#s(literal -3/2 binary64) |
(*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a)) |
(*.f64 (*.f64 (*.f64 c c) a) #s(literal -9/8 binary64)) |
#s(literal -9/8 binary64) |
(*.f64 (*.f64 c c) a) |
(*.f64 c c) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.32650375976844204 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 0.3671875 | (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.36947250976844204 | (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b)) | |
| accuracy | 7.010610043563687 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) | |
| accuracy | 0.2578125 | (/.f64 a (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.2890625 | (/.f64 (*.f64 #s(literal -3/2 binary64) a) b) | |
| accuracy | 0.32650375976844204 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 10.717510316781356 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) | |
| accuracy | 0.23526882300974955 | (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) | |
| accuracy | 0.29296875 | (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) | |
| accuracy | 0.32650375976844204 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 30.174916955519993 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.2734375 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 21.39644377445345 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.33203125 | (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) | |
| accuracy | 0.34994125976844204 | (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) | |
| accuracy | 0.37109375 | (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) | |
| accuracy | 5.133266396112135 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 239.0ms | 179× | 1 | valid |
| 48.0ms | 77× | 0 | valid |
Compiled 719 to 96 computations (86.6% saved)
ival-mult: 105.0ms (44.8% of total)adjust: 39.0ms (16.6% of total)ival-div: 38.0ms (16.2% of total)ival-add: 21.0ms (9% of total)ival-pow: 19.0ms (8.1% of total)const: 4.0ms (1.7% of total)ival-sqrt: 3.0ms (1.3% of total)ival-sub: 2.0ms (0.9% of total)exact: 2.0ms (0.9% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) |
(fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c) |
(fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) |
(*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) |
(/.f64 (*.f64 #s(literal -3/2 binary64) a) b) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b)) |
(/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -3/2 (/ a b)) |
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* -3/2 (* (pow b 2) c)) |
(+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (pow b 2) a) |
(/ (+ (* -3 (* a c)) (pow b 2)) a) |
(/ a (pow b 3)) |
(* -3/2 (* (pow b 4) c)) |
(+ (* -3/2 (* (pow b 4) c)) (* -9/8 (* a (* (pow b 2) (pow c 2))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(* -9/16 (* a (pow c 3))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -9/8 (* a (pow c 2))) |
(* a (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2)))) |
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 c) |
(+ (* -3 c) (/ (pow b 2) a)) |
(* -9/8 (* a (* (pow b 2) (pow c 2)))) |
(* a (+ (* -3/2 (/ (* (pow b 4) c) a)) (* -9/8 (* (pow b 2) (pow c 2))))) |
(* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* 9/8 (pow c 2)) (* 3/2 (/ (* (pow b 2) c) a))))) |
(* -1 (* (pow a 3) (+ (* 9/8 (/ (pow c 2) (* a (pow b 3)))) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))) a)) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* 9/8 (* (pow b 2) (pow c 2))) (* 3/2 (/ (* (pow b 4) c) a))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))) a)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ -1/2 b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* -9/8 (* (pow a 2) (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 5)) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* (pow b 2) (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2))))) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* -9/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))))) (pow b 5)) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b) |
(* (pow b 2) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ (* -3 (/ c (pow b 2))) (/ 1 a))) |
(* (pow b 4) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))) |
(* c (+ (* -3/2 (pow b 2)) (* -9/8 (* a c)))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* c (+ (* -3/2 (pow b 4)) (* -9/8 (* a (* (pow b 2) c))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ (pow b 2) c)) (* -9/8 a))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (- (/ (pow b 2) (* a c)) 3)) |
(* (pow c 2) (+ (* -3/2 (/ (pow b 4) c)) (* -9/8 (* a (pow b 2))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c)))) (/ 3/2 (* b (pow c 2))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ 3 (* -1 (/ (pow b 2) (* a c)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ a (* (pow b 3) c))) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))) c)) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | c | @ | 0 | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) c) (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (* -3 c) (/ (* b b) a)) (/ (* -3/2 a) b) (/ a (pow b 3)) (* (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (* b b)) (/ (+ (* (* -27/16 (* a a)) (pow c 3)) (* (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (* b b))) (pow b 5))) |
| 17.0ms | b | @ | 0 | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) c) (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (* -3 c) (/ (* b b) a)) (/ (* -3/2 a) b) (/ a (pow b 3)) (* (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (* b b)) (/ (+ (* (* -27/16 (* a a)) (pow c 3)) (* (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (* b b))) (pow b 5))) |
| 7.0ms | a | @ | -inf | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) c) (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (* -3 c) (/ (* b b) a)) (/ (* -3/2 a) b) (/ a (pow b 3)) (* (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (* b b)) (/ (+ (* (* -27/16 (* a a)) (pow c 3)) (* (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (* b b))) (pow b 5))) |
| 6.0ms | b | @ | inf | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) c) (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (* -3 c) (/ (* b b) a)) (/ (* -3/2 a) b) (/ a (pow b 3)) (* (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (* b b)) (/ (+ (* (* -27/16 (* a a)) (pow c 3)) (* (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (* b b))) (pow b 5))) |
| 6.0ms | a | @ | inf | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) c) (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (* -3 c) (/ (* b b) a)) (/ (* -3/2 a) b) (/ a (pow b 3)) (* (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (* b b)) (/ (+ (* (* -27/16 (* a a)) (pow c 3)) (* (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (* b b))) (pow b 5))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1058 | 6000 |
| 1 | 3794 | 5972 |
| 0 | 8453 | 5689 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -3/2 (/ a b)) |
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* -3/2 (* (pow b 2) c)) |
(+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (pow b 2) a) |
(/ (+ (* -3 (* a c)) (pow b 2)) a) |
(/ a (pow b 3)) |
(* -3/2 (* (pow b 4) c)) |
(+ (* -3/2 (* (pow b 4) c)) (* -9/8 (* a (* (pow b 2) (pow c 2))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(* -9/16 (* a (pow c 3))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -9/8 (* a (pow c 2))) |
(* a (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2)))) |
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 c) |
(+ (* -3 c) (/ (pow b 2) a)) |
(* -9/8 (* a (* (pow b 2) (pow c 2)))) |
(* a (+ (* -3/2 (/ (* (pow b 4) c) a)) (* -9/8 (* (pow b 2) (pow c 2))))) |
(* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* 9/8 (pow c 2)) (* 3/2 (/ (* (pow b 2) c) a))))) |
(* -1 (* (pow a 3) (+ (* 9/8 (/ (pow c 2) (* a (pow b 3)))) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))) a)) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* 9/8 (* (pow b 2) (pow c 2))) (* 3/2 (/ (* (pow b 4) c) a))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))) a)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ -1/2 b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* -9/8 (* (pow a 2) (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 5)) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* (pow b 2) (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2))))) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* -9/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))))) (pow b 5)) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b) |
(* (pow b 2) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ (* -3 (/ c (pow b 2))) (/ 1 a))) |
(* (pow b 4) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))) |
(* c (+ (* -3/2 (pow b 2)) (* -9/8 (* a c)))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* c (+ (* -3/2 (pow b 4)) (* -9/8 (* a (* (pow b 2) c))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ (pow b 2) c)) (* -9/8 a))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (- (/ (pow b 2) (* a c)) 3)) |
(* (pow c 2) (+ (* -3/2 (/ (pow b 4) c)) (* -9/8 (* a (pow b 2))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c)))) (/ 3/2 (* b (pow c 2))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ 3 (* -1 (/ (pow b 2) (* a c)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ a (* (pow b 3) c))) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))) c)) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
| Outputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(*.f64 (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (*.f64 c c)) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (*.f64 c c))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
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(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 a a) c) (/.f64 (*.f64 #s(literal 27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal 27/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 c)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 9/16 binary64)))) (pow.f64 c #s(literal 3 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (+ 3 (* -1 (/ (pow b 2) (* a c)))))) |
(*.f64 (neg.f64 c) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 b b) a) c))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ a (* (pow b 3) c))) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 a c) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))) c)) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 27/16 binary64) (/.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 c b))) (neg.f64 c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 834 |
| 0 | 166 | 834 |
| 1 | 581 | 822 |
| 2 | 4441 | 822 |
| 0 | 8283 | 795 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) |
(fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c) |
(fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) |
(*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) |
(/.f64 (*.f64 #s(literal -3/2 binary64) a) b) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b)) |
(/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 c b) #s(literal 6 binary64))) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (fma.f64 #s(literal 81/256 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -729/4096 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 c b) #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))))))) |
(/.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 #s(literal -729/4096 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 c b) #s(literal 6 binary64)))) (fma.f64 #s(literal 81/256 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))))) |
(/.f64 (fma.f64 #s(literal -729/4096 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 c b) #s(literal 6 binary64)))) (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)))))) |
(fma.f64 (*.f64 (*.f64 c c) (*.f64 b #s(literal -3/8 binary64))) b (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 c c) (*.f64 b #s(literal -3/8 binary64))) b (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (neg.f64 c)) (neg.f64 c) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (neg.f64 c)) (neg.f64 c) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) b) b))) (pow.f64 b #s(literal 10 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 729/256 binary64) (pow.f64 (*.f64 a (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (*.f64 a a) (*.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))))) (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal -19683/4096 binary64) (pow.f64 (*.f64 a (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) b) b) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) b) b)) (*.f64 #s(literal 729/256 binary64) (pow.f64 (*.f64 a (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) b) b))) (neg.f64 (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) b) b)) (pow.f64 b #s(literal 5 binary64))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) b) b))) (pow.f64 b #s(literal 5 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) b) b)) (neg.f64 (pow.f64 b #s(literal 5 binary64))))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) b) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 b (pow.f64 b #s(literal 5/2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) |
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal 5/2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) |
(fma.f64 (/.f64 #s(literal -27/16 binary64) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (*.f64 a (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 5/2 binary64))) (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5/2 binary64))) (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (pow.f64 b #s(literal 5/2 binary64))) (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal -3 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) b) (/.f64 b (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal -3 binary64)))) |
(fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal -3 binary64)))) |
(fma.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal -3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal -3 binary64)))) |
(fma.f64 (*.f64 b b) (/.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) |
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64)))) (*.f64 b b)) (pow.f64 b #s(literal 5 binary64)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal -3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (fma.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (pow.f64 b #s(literal -3 binary64)))) |
Compiled 44 285 to 3 879 computations (91.2% saved)
56 alts after pruning (53 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 557 | 32 | 589 |
| Fresh | 19 | 21 | 40 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 579 | 56 | 635 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.4% | (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
| 52.4% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 53.2% | (/.f64 (fma.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) | |
| 53.3% | (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 52.5% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| 52.5% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| 88.5% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (*.f64 (*.f64 #s(literal -9/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) | |
| 82.7% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) a) #s(literal 3 binary64)) | |
| 82.8% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) #s(literal 3 binary64)) a) | |
| 51.4% | (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))))) | |
| 52.8% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (/.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.3% | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) | |
| 52.2% | (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))))))) | |
| 52.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 #s(literal -3 binary64) c)) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 52.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
| 52.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (*.f64 #s(literal -3 binary64) c) (*.f64 (neg.f64 b) (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 34.5% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c) c (*.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) a) b) c))) (*.f64 #s(literal 3 binary64) a)) | |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 #s(literal -3/2 binary64) a) c)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 91.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 66.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 66.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 88.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 c c) (*.f64 a #s(literal -9/8 binary64)) (*.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 88.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) b) (*.f64 c b) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 88.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 #s(approx (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/8 binary64) (*.f64 (*.f64 b b) #s(literal -3/2 binary64))) c)) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 66.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 #s(literal -9/8 binary64) b) (*.f64 #s(literal -3/2 binary64) a)) b)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b)) a)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 a b))) (*.f64 a a))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) c) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) c) #s(literal -3/2 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 51.5% | (+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)))) | |
| 33.9% | (+.f64 #s(approx (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 91.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) | |
| ▶ | 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| ▶ | 91.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 88.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 88.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 88.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 83.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 66.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 66.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| 91.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b)) c))) | |
| 91.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (*.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (neg.f64 a)))))) | |
| 66.6% | #s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a)) | |
| 13.0% | #s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64))) |
Compiled 5 392 to 3 356 computations (37.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) | |
| cost-diff | 0 | (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 13 | (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) | |
| cost-diff | 0 | (*.f64 (*.f64 c c) a) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) | |
| cost-diff | 0 | (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) | |
| cost-diff | 0 | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1131 |
| 0 | 147 | 1085 |
| 1 | 308 | 1064 |
| 2 | 1016 | 1064 |
| 3 | 5062 | 1058 |
| 0 | 8108 | 1031 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b)) |
#s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) |
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) |
(fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) |
(*.f64 a c) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
#s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
#s(literal -3/2 binary64) |
(/.f64 c b) |
c |
b |
a |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) |
#s(literal -3 binary64) |
c |
(/.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 c c) a) |
(*.f64 c c) |
c |
a |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
#s(literal -3/8 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) |
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) |
#s(literal -3 binary64) |
c |
(/.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
#s(literal 1/4 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) |
(fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal -135/128 binary64)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b)) |
(*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b)) |
#s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) |
#s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) |
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) |
(*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) |
(fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) |
(*.f64 a c) |
(*.f64 c a) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
#s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
#s(literal -3/2 binary64) |
(/.f64 c b) |
c |
b |
a |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) a) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) |
#s(literal -3 binary64) |
c |
(/.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 c (*.f64 c (/.f64 (/.f64 a b) b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 c (*.f64 c (/.f64 (/.f64 a b) b))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b) |
(/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) c) |
(*.f64 (*.f64 c c) a) |
(*.f64 (*.f64 c a) c) |
(*.f64 c c) |
c |
a |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
#s(literal -3/8 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64))) |
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) |
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) |
#s(literal -3 binary64) |
c |
(/.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
#s(literal 1/4 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23526882300974955 | (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) | |
| accuracy | 0.29296875 | (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) | |
| accuracy | 0.32650375976844204 | (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 30.29465003594671 | (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) | |
| accuracy | 0.2421875 | (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.29296875 | (*.f64 (*.f64 c c) a) | |
| accuracy | 0.4030075195368841 | (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 10.72258588745258 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| accuracy | 0.24609375 | (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) | |
| accuracy | 0.2890625 | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| accuracy | 0.29296875 | (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) | |
| accuracy | 30.174916955519993 | (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) | |
| accuracy | 0.28515625 | (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) | |
| accuracy | 0.32650375976844204 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 7.010610043563687 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) | |
| accuracy | 21.392032734218148 | #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) | |
| accuracy | 0.33203125 | (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b)) | |
| accuracy | 0.34994125976844204 | (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) | |
| accuracy | 0.36556625976844204 | (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) | |
| accuracy | 5.133266396112135 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 341.0ms | 181× | 1 | valid |
| 88.0ms | 75× | 0 | valid |
Compiled 664 to 93 computations (86% saved)
ival-mult: 149.0ms (39.4% of total)ival-add: 86.0ms (22.7% of total)ival-pow: 49.0ms (13% of total)adjust: 41.0ms (10.8% of total)ival-div: 41.0ms (10.8% of total)const: 4.0ms (1.1% of total)ival-sqrt: 3.0ms (0.8% of total)ival-sub: 2.0ms (0.5% of total)exact: 2.0ms (0.5% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
#s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 c c) a) |
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) |
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) |
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) |
(*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (pow c 2)) |
(* (pow 1 1/4) (sqrt b)) |
(+ (* -3/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -9/4 (/ (pow c 3) (pow b 6))) (+ (* -9/128 (/ (pow c 3) (pow b 6))) (* 27/32 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(/ (pow b 2) a) |
(/ (+ (* -3 (* a c)) (pow b 2)) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/324 (/ (pow b 6) (pow c 3))) (+ (* -1/10368 (/ (pow b 6) (pow c 3))) (* 1/864 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -9/16 (* a (pow c 3))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 c) |
(+ (* -3 c) (/ (pow b 2) a)) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (pow a 3) (+ (* 9/8 (/ (pow c 2) (* a (pow b 3)))) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))) a)) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))) a)))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/864 (/ (pow b 6) (pow c 3))) (+ (* 1/10368 (/ (pow b 6) (pow c 3))) (* 1/324 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2)))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* -9/8 (* (pow a 2) (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* -9/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))))) (pow b 5)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(pow (* -3 (* a c)) 1/4) |
(+ (* -1/12 (* (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* -1/96 (* (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -1/96 (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4)) (* -7/3456 (* (pow (/ -3 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -3 (* a c)) 1/4)) |
(- (pow b 2) (* 3 (* a c))) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(sqrt b) |
(+ (sqrt b) (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3)))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3))))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ (* -3 (/ c (pow b 2))) (/ 1 a))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* (sqrt b) (sqrt -1)) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3)))))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/4 (/ (pow a 3) (pow b 6))) (+ (* -9/128 (/ (pow a 3) (pow b 6))) (* 27/32 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c)))) (/ 3/2 (* b (pow c 2))))) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/324 (/ (pow b 6) (pow a 3))) (+ (* -1/10368 (/ (pow b 6) (pow a 3))) (* 1/864 (/ (pow b 6) (pow a 3)))))) (pow c 3))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (- (/ (pow b 2) (* a c)) 3)) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ a (* (pow b 3) c))) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))) c)) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/864 (/ (pow b 6) (pow a 3))) (+ (* 1/10368 (/ (pow b 6) (pow a 3))) (* 1/324 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2)))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ 3 (* -1 (/ (pow b 2) (* a c)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | c | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (* (* c c) a) (pow b 3)) -3/8) (* (/ c b) -1/2)) (/ (* (* c c) a) (pow b 3)) (* (* c c) a) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (pow (- (* b b) (* (* 3 a) c)) 1/4) (- (* b b) (* (* 3 a) c)) (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) (* c c)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* -3/2 (/ c b)) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (* -3 c) (/ (* b b) a))) |
| 14.0ms | b | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (* (* c c) a) (pow b 3)) -3/8) (* (/ c b) -1/2)) (/ (* (* c c) a) (pow b 3)) (* (* c c) a) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (pow (- (* b b) (* (* 3 a) c)) 1/4) (- (* b b) (* (* 3 a) c)) (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) (* c c)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* -3/2 (/ c b)) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (* -3 c) (/ (* b b) a))) |
| 9.0ms | c | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (* (* c c) a) (pow b 3)) -3/8) (* (/ c b) -1/2)) (/ (* (* c c) a) (pow b 3)) (* (* c c) a) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (pow (- (* b b) (* (* 3 a) c)) 1/4) (- (* b b) (* (* 3 a) c)) (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) (* c c)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* -3/2 (/ c b)) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (* -3 c) (/ (* b b) a))) |
| 7.0ms | a | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (* (* c c) a) (pow b 3)) -3/8) (* (/ c b) -1/2)) (/ (* (* c c) a) (pow b 3)) (* (* c c) a) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (pow (- (* b b) (* (* 3 a) c)) 1/4) (- (* b b) (* (* 3 a) c)) (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) (* c c)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* -3/2 (/ c b)) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (* -3 c) (/ (* b b) a))) |
| 6.0ms | b | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) a) (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (* (* c c) a) (pow b 3)) -3/8) (* (/ c b) -1/2)) (/ (* (* c c) a) (pow b 3)) (* (* c c) a) (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (/ (+ (* (pow (- (* b b) (* (* 3 a) c)) 1/4) (pow (- (* b b) (* (* 3 a) c)) 1/4)) (neg b)) (* 3 a)) (pow (- (* b b) (* (* 3 a) c)) 1/4) (- (* b b) (* (* 3 a) c)) (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) (* c c)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* -3/2 (/ c b)) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (* -3 c) (/ (* b b) a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1370 | 7846 |
| 1 | 4992 | 7840 |
| 0 | 8936 | 7480 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (pow c 2)) |
(* (pow 1 1/4) (sqrt b)) |
(+ (* -3/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -9/4 (/ (pow c 3) (pow b 6))) (+ (* -9/128 (/ (pow c 3) (pow b 6))) (* 27/32 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(/ (pow b 2) a) |
(/ (+ (* -3 (* a c)) (pow b 2)) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/324 (/ (pow b 6) (pow c 3))) (+ (* -1/10368 (/ (pow b 6) (pow c 3))) (* 1/864 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -9/16 (* a (pow c 3))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 c) |
(+ (* -3 c) (/ (pow b 2) a)) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (pow a 3) (+ (* 9/8 (/ (pow c 2) (* a (pow b 3)))) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))) a)) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* (pow a 2) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))) a)))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/864 (/ (pow b 6) (pow c 3))) (+ (* 1/10368 (/ (pow b 6) (pow c 3))) (* 1/324 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2)))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* -9/8 (* (pow a 2) (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* -9/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))))) (pow b 5)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(pow (* -3 (* a c)) 1/4) |
(+ (* -1/12 (* (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* -1/96 (* (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -1/96 (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4)) (* -7/3456 (* (pow (/ -3 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -3 (* a c)) 1/4)) |
(- (pow b 2) (* 3 (* a c))) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(sqrt b) |
(+ (sqrt b) (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3)))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3))))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ (* -3 (/ c (pow b 2))) (/ 1 a))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* (sqrt b) (sqrt -1)) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3)))))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/4 (/ (pow a 3) (pow b 6))) (+ (* -9/128 (/ (pow a 3) (pow b 6))) (* 27/32 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -9/8 (/ a (* (pow b 3) c)))) (/ 3/2 (* b (pow c 2))))) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/324 (/ (pow b 6) (pow a 3))) (+ (* -1/10368 (/ (pow b 6) (pow a 3))) (* 1/864 (/ (pow b 6) (pow a 3)))))) (pow c 3))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (- (/ (pow b 2) (* a c)) 3)) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ a (* (pow b 3) c))) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))) c)) (* 27/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/864 (/ (pow b 6) (pow a 3))) (+ (* 1/10368 (/ (pow b 6) (pow a 3))) (* 1/324 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2)))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ 3 (* -1 (/ (pow b 2) (* a c)))))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
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(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(fma.f64 (/.f64 #s(literal -1/12 binary64) c) (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 a #s(literal 3 binary64))))) a)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 a #s(literal 3 binary64)))))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 a #s(literal 3 binary64))))) a)) #s(literal 1/12 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -1/96 binary64)) c)))) c) #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 a #s(literal 3 binary64)))))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/864 (/ (pow b 6) (pow a 3))) (+ (* 1/10368 (/ (pow b 6) (pow a 3))) (* 1/324 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2)))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 a #s(literal 3 binary64))))) a)) #s(literal 1/12 binary64) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 a #s(literal 3 binary64))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 11/3456 binary64) (/.f64 (*.f64 #s(literal -1/864 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 3 binary64)))) c)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 a #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -1/96 binary64)))) (neg.f64 c))) c) #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 a #s(literal 3 binary64)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 a #s(literal 3 binary64) (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal 3/8 binary64) (*.f64 #s(literal 9/16 binary64) a))) (pow.f64 c #s(literal 3 binary64))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 9/16 binary64)))) (pow.f64 c #s(literal 3 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 a #s(literal 3 binary64) (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (+ 3 (* -1 (/ (pow b 2) (* a c)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 b b) a) #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 896 |
| 0 | 147 | 850 |
| 1 | 544 | 829 |
| 2 | 4082 | 829 |
| 0 | 8709 | 803 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
#s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 c c) a) |
(fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) |
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) |
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) |
(*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a) |
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 c) b) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a) (*.f64 (/.f64 (neg.f64 c) b) #s(literal -1/2 binary64)))))) |
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(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 c c)) (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64))) a) (-.f64 (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 b b) a))) |
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 c #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 3 binary64))) a) (fma.f64 #s(literal 9 binary64) (*.f64 c c) (*.f64 (/.f64 (*.f64 b b) a) (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal -3 binary64) c))))) |
(/.f64 (*.f64 a (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 c c)) (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 b b) a))) |
(/.f64 (*.f64 a (fma.f64 #s(literal -27 binary64) (pow.f64 c #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 3 binary64)))) (fma.f64 #s(literal 9 binary64) (*.f64 c c) (*.f64 (/.f64 (*.f64 b b) a) (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal -3 binary64) c))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (/.f64 (*.f64 b b) a) a)) |
(fma.f64 (/.f64 (*.f64 b b) a) a (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 a (/.f64 (*.f64 b b) a))) |
(fma.f64 a (/.f64 (*.f64 b b) a) (*.f64 a (*.f64 #s(literal -3 binary64) c))) |
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (*.f64 (/.f64 (*.f64 b b) a) a)) |
(+.f64 (*.f64 (/.f64 (*.f64 b b) a) a) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(+.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a (/.f64 (*.f64 b b) a))) |
(+.f64 (*.f64 a (/.f64 (*.f64 b b) a)) (*.f64 a (*.f64 #s(literal -3 binary64) c))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 c c))) (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal -3 binary64) c))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 c c)) (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 b b) a)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 c #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 c c) (*.f64 (/.f64 (*.f64 b b) a) (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal -3 binary64) c)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 c c)) (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 b b) a))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 c #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 c c)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) b) (/.f64 b a))))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 c #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 c c) (*.f64 (/.f64 (*.f64 b b) a) (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal -3 binary64) c))))) |
(fma.f64 (/.f64 b a) b (*.f64 #s(literal -3 binary64) c)) |
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) a) (*.f64 #s(literal -3 binary64) c)) |
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) a) (*.f64 #s(literal -3 binary64) c)) |
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) |
(fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)) |
(fma.f64 b (/.f64 b a) (*.f64 #s(literal -3 binary64) c)) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 c c)) (-.f64 (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 b b) a))) (/.f64 (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 b b) a)))) |
(-.f64 (*.f64 #s(literal -3 binary64) c) (*.f64 (neg.f64 b) (/.f64 b a))) |
(-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) c)) |
(-.f64 (/.f64 (*.f64 b b) a) (*.f64 (neg.f64 c) #s(literal -3 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 c #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 c c) (*.f64 (/.f64 (*.f64 b b) a) (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal -3 binary64) c))))) (/.f64 (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 c c) (*.f64 (/.f64 (*.f64 b b) a) (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal -3 binary64) c)))))) |
(+.f64 (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 b b) a)) |
(+.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal -3 binary64) c)) |
Compiled 61 234 to 4 594 computations (92.5% saved)
71 alts after pruning (66 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 828 | 27 | 855 |
| Fresh | 9 | 39 | 48 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 840 | 71 | 911 |
| Status | Accuracy | Program |
|---|---|---|
| 51.8% | (fma.f64 (/.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a)) | |
| 52.8% | (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 51.7% | (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) | |
| 52.6% | (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 52.4% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 52.9% | (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) | |
| 53.2% | (/.f64 (fma.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) | |
| 53.0% | (/.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 3/8 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/8 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 52.4% | (/.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 53.0% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) #s(literal 3 binary64)) | |
| 51.7% | (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 (neg.f64 b) a))) #s(literal 3 binary64)) | |
| 52.8% | (/.f64 (/.f64 (-.f64 (/.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)))) a) #s(literal 3 binary64)) | |
| 53.3% | (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.3% | (/.f64 (/.f64 (-.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a)) #s(literal 3 binary64)) | |
| 52.8% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 52.5% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| 82.7% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) a) #s(literal 3 binary64)) | |
| 82.8% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) #s(literal 3 binary64)) a) | |
| 66.5% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) | |
| 66.5% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) | |
| 51.8% | (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a))) | |
| 52.8% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (/.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.3% | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) | |
| 52.2% | (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))))))) | |
| 51.8% | (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) | |
| 52.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 #s(literal -3 binary64) c)) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 52.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
| 52.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (*.f64 #s(literal -3 binary64) c) (*.f64 (neg.f64 b) (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 34.5% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 91.5% | (/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 3 binary64)) | |
| 91.5% | (/.f64 #s(approx (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a) (/.f64 c b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64))) c) (/.f64 #s(literal 3/2 binary64) b)) c)) #s(literal 3 binary64)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c) c (*.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) a) b) c))) (*.f64 #s(literal 3 binary64) a)) | |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) c (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 #s(literal -3/2 binary64) a) c)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 66.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 66.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 88.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 c c) (*.f64 a #s(literal -9/8 binary64)) (*.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 88.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) b) (*.f64 c b) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 88.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 #s(approx (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/8 binary64) (*.f64 (*.f64 b b) #s(literal -3/2 binary64))) c)) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 66.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 66.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 #s(literal -9/8 binary64) b) (*.f64 #s(literal -3/2 binary64) a)) b)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b)) a)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 a b))) (*.f64 a a))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) c) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) c) #s(literal -3/2 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 51.8% | (+.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)))) | |
| 33.9% | (+.f64 #s(approx (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 91.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ✓ | 91.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 88.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 91.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a))) | |
| 88.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 91.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))) | |
| 88.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 83.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 66.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 66.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| 82.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ (* (* c c) a) (pow b 3)) -3/8) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (pow.f64 b #s(literal 3 binary64))))) | |
| 66.6% | #s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a)) | |
| 13.0% | #s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64))) |
Compiled 9 883 to 2 975 computations (69.9% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(approx (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
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(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (*.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (neg.f64 a)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (fma.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (pow.f64 b #s(literal -5 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
5 calls:
| 52.0ms | a |
| 44.0ms | (*.f64 #s(literal 3 binary64) a) |
| 29.0ms | b |
| 27.0ms | c |
| 26.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 91.8% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 91.8% | 1 | a |
| 91.8% | 1 | b |
| 91.8% | 1 | c |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(approx (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 #s(literal -3 binary64) c)) a)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (*.f64 #s(literal -3 binary64) c) (*.f64 (neg.f64 b) (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a)) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 #s(literal -9/8 binary64) b) (*.f64 #s(literal -3/2 binary64) a)) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) #s(literal 3 binary64)) |
(+.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)))) |
(+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 #s(literal -3/2 binary64) a) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ (* (* c c) a) (pow b 3)) -3/8) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (pow.f64 b #s(literal 3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (/.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b)) a)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b)) a)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)))) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 a (/.f64 #s(literal -3/2 binary64) b))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 a b))) (*.f64 a a))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 a b))) (*.f64 a a))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) c) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) c) #s(literal -3/2 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) c) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) c) #s(literal -3/2 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c) c (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c) c (*.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) a) b) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) c) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 #s(approx (+ (* (* (* b b) c) -3/2) (* -9/8 (* (* c c) a))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/8 binary64) (*.f64 (*.f64 b b) #s(literal -3/2 binary64))) c)) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 3/8 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/8 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64))) c) (/.f64 #s(literal 3/2 binary64) b)) c)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) b) (*.f64 c b) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 c c) (*.f64 a #s(literal -9/8 binary64)) (*.f64 (*.f64 c (*.f64 b b)) #s(literal -3/2 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
5 calls:
| 51.0ms | c |
| 24.0ms | (*.f64 #s(literal 3 binary64) a) |
| 23.0ms | b |
| 20.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 20.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 88.8% | 1 | a |
| 88.8% | 1 | c |
| 90.7% | 2 | b |
| 88.8% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(approx (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 #s(literal -3 binary64) c)) a)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (*.f64 #s(literal -3 binary64) c) (*.f64 (neg.f64 b) (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a)) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 #s(literal -9/8 binary64) b) (*.f64 #s(literal -3/2 binary64) a)) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) #s(literal 3 binary64)) |
(+.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)))) |
(+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 #s(literal -3/2 binary64) a) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ (* (* c c) a) (pow b 3)) -3/8) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (pow.f64 b #s(literal 3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (/.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b)) a)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b)) a)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)))) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 a (/.f64 #s(literal -3/2 binary64) b))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 a b))) (*.f64 a a))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 a b))) (*.f64 a a))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) c) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) c) #s(literal -3/2 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) c) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) c) #s(literal -3/2 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c) c (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c) c (*.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) a) b) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) a)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) c) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
1 calls:
| 17.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
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(/.f64 (fma.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
5 calls:
| 43.0ms | b |
| 42.0ms | (*.f64 #s(literal 3 binary64) a) |
| 20.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 16.0ms | c |
| 16.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 83.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 83.1% | 1 | a |
| 85.0% | 2 | c |
| 87.4% | 2 | b |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(approx (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 #s(literal -3 binary64) c)) a)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (*.f64 #s(literal -3 binary64) c) (*.f64 (neg.f64 b) (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a)) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 #s(literal -9/8 binary64) b) (*.f64 #s(literal -3/2 binary64) a)) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) #s(literal 3 binary64)) |
(+.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)))) |
(+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 #s(literal -3/2 binary64) a) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (/ (* (* c c) a) (pow b 3)) -3/8) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (pow.f64 b #s(literal 3 binary64))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(approx (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 #s(literal -3 binary64) c)) a)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (-.f64 (*.f64 #s(literal -3 binary64) c) (*.f64 (neg.f64 b) (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (* (/ a b) -3/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) a)) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* a (/ a (pow b 3))) -9/8) c) (/ (* -3/2 a) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 #s(literal -9/8 binary64) b) (*.f64 #s(literal -3/2 binary64) a)) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) #s(literal 3 binary64)) |
(+.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)))) |
(+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 a (/.f64 (/.f64 a (*.f64 b b)) b)) #s(literal -9/8 binary64)) c (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 #s(literal -3/2 binary64) a) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
1 calls:
| 33.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(approx (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (/.f64 b a) b (*.f64 #s(literal -3 binary64) c)) a)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(approx (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
5 calls:
| 12.0ms | a |
| 5.0ms | c |
| 5.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 5.0ms | b |
| 5.0ms | (*.f64 #s(literal 3 binary64) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 2 | (*.f64 #s(literal 3 binary64) a) |
| 72.0% | 2 | a |
| 70.7% | 2 | c |
| 78.4% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 75.7% | 2 | b |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64))) a)) |
#s(approx (+ (/ (sqrt (+ (* c (* a 3)) (* b b))) (* -3 a)) (/ b (* a 3))) (*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (+ (* (* a -27/16) (/ (pow c 3) (pow b 5))) (/ (* -9/8 (* c c)) (pow b 3))) a) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
5 calls:
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 3.0ms | b |
| 3.0ms | c |
| 3.0ms | (*.f64 #s(literal 3 binary64) a) |
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.6% | 1 | c |
| 66.6% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 66.6% | 1 | a |
| 66.6% | 1 | b |
| 66.6% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 23 to 26 computations (-13% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
5 calls:
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 1.0ms | b |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | a |
| 1.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 66.5% | 1 | c |
| 66.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 66.5% | 1 | a |
| 66.5% | 1 | b |
Compiled 23 to 26 computations (-13% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 15.803891333774247 | 16.361998049388962 |
Compiled 20 to 18 computations (10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 15.803891333774247 | 16.361998049388962 |
Compiled 20 to 18 computations (10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 15.803891333774247 | 16.361998049388962 |
Compiled 20 to 18 computations (10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 15.803891333774247 | 16.361998049388962 |
Compiled 20 to 18 computations (10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 15.803891333774247 | 16.361998049388962 |
Compiled 20 to 18 computations (10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 15.803891333774247 | 16.361998049388962 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -9.895240875546031e-7 | -8.990672849431316e-7 |
Compiled 20 to 18 computations (10% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 750 |
| 1 | 219 | 750 |
| 2 | 562 | 748 |
| 3 | 2575 | 748 |
| 4 | 7664 | 748 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -8500259669165361/9444732965739290427392 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 a #s(literal 3 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) c) (*.f64 b b)) b) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 16 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -8500259669165361/9444732965739290427392 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 834 |
| 0 | 166 | 834 |
| 1 | 581 | 822 |
| 2 | 4441 | 822 |
| 0 | 8283 | 795 |
| 0 | 470 | 1964 |
| 1 | 1594 | 1948 |
| 2 | 6584 | 1948 |
| 0 | 8592 | 1850 |
| 0 | 1058 | 6000 |
| 1 | 3794 | 5972 |
| 0 | 8453 | 5689 |
| 0 | 73 | 525 |
| 0 | 126 | 525 |
| 1 | 431 | 517 |
| 2 | 3254 | 517 |
| 0 | 8282 | 511 |
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 65 | 46 |
| 2 | 483 | 45 |
| 3 | 5833 | 44 |
| 0 | 8853 | 41 |
| 0 | 102 | 896 |
| 0 | 147 | 850 |
| 1 | 544 | 829 |
| 2 | 4082 | 829 |
| 0 | 8709 | 803 |
| 0 | 1224 | 7415 |
| 1 | 4360 | 7411 |
| 0 | 8858 | 7061 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 750 to 146 computations (80.5% saved)
Compiled 1 534 to 316 computations (79.4% saved)
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