
Time bar (total: 7.6s)
| 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 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 1.1s | 5 281× | 1 | valid |
| 339.0ms | 2 975× | 0 | valid |
| 130.0ms | 1 120× | 0 | invalid |
const: 219.0ms (18% of total)ival-mult: 204.0ms (16.7% of total)ival-<: 189.0ms (15.5% of total)adjust: 130.0ms (10.7% of total)ival-sqrt: 122.0ms (10% of total)ival-div: 99.0ms (8.1% of total)ival-add: 86.0ms (7% of total)ival-sub: 76.0ms (6.2% of total)ival-neg: 47.0ms (3.9% of total)ival-and: 33.0ms (2.7% of total)exact: 10.0ms (0.8% of total)ival-assert: 5.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 245 | 1 | (3.288160057597363e-13 0.00010857063537965805 107.9824124449403) | 2 | (3.7926437320029357e-10 3.5130743711897125e-10 2.336397857143951e-12) | (+.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 | 244 | 4 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 244 | 2 |
| - | 0 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 244 | 2 | 0 |
| - | 0 | 2 | 8 |
| number | freq |
|---|---|
| 0 | 12 |
| 1 | 244 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 48.0ms | 322× | 1 | valid |
| 15.0ms | 190× | 0 | valid |
Compiled 153 to 40 computations (73.9% saved)
ival-mult: 11.0ms (27.8% of total)adjust: 6.0ms (15.2% of total)ival-sqrt: 6.0ms (15.2% of total)ival-div: 5.0ms (12.6% of total)ival-add: 4.0ms (10.1% of total)ival-sub: 4.0ms (10.1% of total)ival-neg: 2.0ms (5.1% 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 |
|---|---|---|
| ▶ | 32.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
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 | 0.1171875 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.30078125 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.37109375 | (/.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 | 43.15989623721142 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 32.0ms | 161× | 1 | valid |
| 8.0ms | 95× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-sqrt: 7.0ms (24.8% of total)ival-add: 6.0ms (21.3% of total)ival-mult: 6.0ms (21.3% of total)ival-div: 3.0ms (10.6% of total)adjust: 3.0ms (10.6% of total)ival-sub: 2.0ms (7.1% of total)ival-neg: 1.0ms (3.5% 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 | |
|---|---|---|---|---|
| 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 | 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)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 410 | 19 | 429 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 411 | 19 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| 32.5% | (/.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)) | |
| 32.6% | (/.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)) | |
| 95.2% | (/.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)) | |
| 93.6% | (/.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)) | |
| 90.1% | (/.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)) | |
| 95.4% | (/.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)) | |
| 93.7% | (/.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)) | |
| 90.1% | (/.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)) | |
| ▶ | 90.2% | (/.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)) |
| 80.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 22.0% | (+.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)))) |
| ▶ | 95.9% | #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)))) |
| ▶ | 94.1% | #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)))) |
| 90.6% | #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)))) | |
| 95.8% | #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)) | |
| 95.6% | #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)) | |
| 93.8% | #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)) | |
| 90.3% | #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)) | |
| ▶ | 80.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
Compiled 1 538 to 1 056 computations (31.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a #s(literal -9/16 binary64)) | |
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 2 | (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)))) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 2 | (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))) | |
| 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 | 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)))) | |
| 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 | 66 | 634 |
| 0 | 112 | 634 |
| 1 | 209 | 634 |
| 2 | 585 | 632 |
| 3 | 2693 | 615 |
| 4 | 7806 | 614 |
| 0 | 8031 | 602 |
| 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 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)) |
#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 (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) |
(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))) |
(*.f64 a #s(literal -9/8 binary64)) |
a |
#s(literal -9/8 binary64) |
(*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
c |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
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) |
#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)))) |
(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))) |
(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)))) |
(*.f64 a #s(literal -9/16 binary64)) |
a |
#s(literal -9/16 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 (*.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) |
| 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 (*.f64 a a) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal 405/64 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 c (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) c) a (/.f64 #s(literal -1/2 binary64) 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 (*.f64 a a) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal 405/64 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 c (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) c) a (/.f64 #s(literal -1/2 binary64) 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 (*.f64 a (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 7 binary64)))) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #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)))) |
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal 405/64 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 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal 405/64 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 b (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b 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 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 (*.f64 (/.f64 c b) (fma.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal -9/8 binary64) b) b) #s(literal -3/2 binary64))) a)) (*.f64 a #s(literal 3 binary64))) |
#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)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) (fma.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal -9/8 binary64) b) b) #s(literal -3/2 binary64))) a)) |
(*.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 (*.f64 (/.f64 c b) (fma.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal -9/8 binary64) b) b) #s(literal -3/2 binary64))) a) |
(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))) |
(*.f64 (/.f64 c b) (fma.f64 (*.f64 c a) (/.f64 (/.f64 #s(literal -9/8 binary64) b) b) #s(literal -3/2 binary64))) |
(*.f64 a #s(literal -9/8 binary64)) |
(*.f64 #s(literal -9/8 binary64) a) |
a |
#s(literal -9/8 binary64) |
(*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) |
c |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
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)) |
#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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(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))) |
(fma.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(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)))) |
(*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) |
(*.f64 a #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) a) |
a |
#s(literal -9/16 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 (*.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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30859375 | (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) | |
| accuracy | 0.33822250976844204 | (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.35384750976844204 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 3.6711955213042353 | #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)))) | |
| accuracy | 0.28125 | (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) | |
| accuracy | 0.2890625 | (/.f64 c (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.37109375 | (/.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)) | |
| accuracy | 5.943405440400576 | #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)) | |
| accuracy | 0.1484375 | (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) | |
| accuracy | 0.26171875 | (/.f64 b (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 0.3170700195368841 | (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) | |
| accuracy | 43.04100204501329 | (+.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 | 12.522002776342662 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.35384750976844204 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.36328125 | (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.3639450195368841 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) | |
| accuracy | 2.5606119429899508 | #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)))) |
| 181.0ms | 170× | 1 | valid |
| 35.0ms | 86× | 0 | valid |
Compiled 536 to 68 computations (87.3% saved)
ival-mult: 51.0ms (30.7% of total)ival-pow: 39.0ms (23.5% of total)ival-div: 32.0ms (19.2% of total)adjust: 16.0ms (9.6% of total)ival-add: 14.0ms (8.4% of total)ival-sqrt: 6.0ms (3.6% of total)const: 4.0ms (2.4% of total)ival-sub: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% 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 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))) |
(/.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)) |
#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 (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) |
(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)))) |
#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)))) |
(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))) |
(*.f64 a #s(literal -9/16 binary64)) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 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))) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (*.f64 c c) #s(literal -3/8 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 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -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)))))))) |
(* -9/16 a) |
(* 1/3 (/ b 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))))))) |
(* -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 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 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))) |
(* -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))))) |
(* -9/16 (/ (* a (pow c 3)) (pow b 5))) |
(* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (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 (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(* -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 (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* 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 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (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)) |
(/ (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -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 5)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ c (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 c) (* -9/8 (/ (* a (pow c 2)) (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) |
(* -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 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) 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)) |
(* 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)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* -3/8 (pow c 2)) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (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))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* 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) (- (* -9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* 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 (+ (* (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) (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | 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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (* a -9/16) (/ (* (pow c 3) -9/16) (pow b 5)) (/ (* (* c c) -3/8) (pow b 3)) (/ b (* a 3)) (/ c (pow b 3)) (* -3/2 (/ c b)) (/ (pow c 3) (pow b 5)) (* (* c c) -3/8)) |
| 13.0ms | 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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (* a -9/16) (/ (* (pow c 3) -9/16) (pow b 5)) (/ (* (* c c) -3/8) (pow b 3)) (/ b (* a 3)) (/ c (pow b 3)) (* -3/2 (/ c b)) (/ (pow c 3) (pow b 5)) (* (* c c) -3/8)) |
| 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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (* a -9/16) (/ (* (pow c 3) -9/16) (pow b 5)) (/ (* (* c c) -3/8) (pow b 3)) (/ b (* a 3)) (/ c (pow b 3)) (* -3/2 (/ c b)) (/ (pow c 3) (pow b 5)) (* (* c c) -3/8)) |
| 9.0ms | c | @ | 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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (* a -9/16) (/ (* (pow c 3) -9/16) (pow b 5)) (/ (* (* c c) -3/8) (pow b 3)) (/ b (* a 3)) (/ c (pow b 3)) (* -3/2 (/ c b)) (/ (pow c 3) (pow b 5)) (* (* c c) -3/8)) |
| 9.0ms | a | @ | 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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (* a -9/16) (/ (* (pow c 3) -9/16) (pow b 5)) (/ (* (* c c) -3/8) (pow b 3)) (/ b (* a 3)) (/ c (pow b 3)) (* -3/2 (/ c b)) (/ (pow c 3) (pow b 5)) (* (* c c) -3/8)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1135 | 6994 |
| 1 | 4033 | 6990 |
| 0 | 8163 | 6663 |
| 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 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -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)))))))) |
(* -9/16 a) |
(* 1/3 (/ b 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))))))) |
(* -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 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 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))) |
(* -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))))) |
(* -9/16 (/ (* a (pow c 3)) (pow b 5))) |
(* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (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 (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(* -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 (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* 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 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (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)) |
(/ (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -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 5)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ c (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 c) (* -9/8 (/ (* a (pow c 2)) (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) |
(* -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 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) 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)) |
(* 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)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* -3/8 (pow c 2)) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (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))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* 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) (- (* -9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* 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 (+ (* (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) (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (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 (/ 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)))) |
(* -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) |
(* -9/16 a) |
(*.f64 #s(literal -9/16 binary64) a) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 1/3 binary64)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (pow.f64 a #s(literal 3 binary64))) |
(* (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))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (fma.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (pow.f64 a #s(literal 3 binary64))) |
(* (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)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (fma.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) #s(literal -1/2 binary64))))) (pow.f64 a #s(literal 3 binary64))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* (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))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (fma.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 a a)) |
(* -1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64)) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* 1/3 (/ b a))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/3 binary64) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (/ b a)))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))) |
(+ (* -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))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/24 binary64) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (sqrt 3))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64))))) |
(+ (* -1/3 (* (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)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/24 binary64)))) |
(+ (* -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))))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/48 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/24 binary64))))) |
(* (sqrt (* a c)) (sqrt 3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
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(* (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)))) |
(*.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 b c))) (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 (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* -1/3 (/ b (* a c)))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b a) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (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))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (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))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 (/.f64 b a) #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 c))) (neg.f64 c)))) |
(* -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))))))) |
(*.f64 (neg.f64 c) (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/3 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 (+ (* (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) (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))))) |
(*.f64 (neg.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)))) (pow.f64 c #s(literal 3 binary64))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (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 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 b c))) (neg.f64 c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 470 |
| 0 | 112 | 470 |
| 1 | 394 | 462 |
| 2 | 3028 | 462 |
| 0 | 8901 | 457 |
| 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 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))) |
(/.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)) |
#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 (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) |
(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)))) |
#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)))) |
(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))) |
(*.f64 a #s(literal -9/16 binary64)) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 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))) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (*.f64 c c) #s(literal -3/8 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 (neg.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 (neg.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.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 (neg.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 (neg.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -405/64 binary64))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.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 (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 (neg.f64 b))) |
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(/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (neg.f64 (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) b)) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 (*.f64 c c) b)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 3/2 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) c) (pow.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 #s(literal -3/8 binary64) c) b)) |
(*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 c c)) |
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) |
(*.f64 (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) c) (*.f64 b b))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c)) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 c (/.f64 (*.f64 #s(literal -3/8 binary64) c) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 c (*.f64 c (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 b #s(literal 3/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b))) (neg.f64 b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b)) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b)) b) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 c c))) |
(/.f64 (neg.f64 (/.f64 b #s(literal 3 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (/.f64 b #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 (/.f64 b a)) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 b a) #s(literal 3 binary64)) |
(/.f64 (neg.f64 b) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(neg.f64 (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (neg.f64 (/.f64 c (*.f64 b b))) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 b #s(literal 3/2 binary64)))) |
(/.f64 (/.f64 c (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) |
(/.f64 (/.f64 c (*.f64 b b)) b) |
(/.f64 (neg.f64 (neg.f64 c)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (/.f64 (neg.f64 c) b) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 c) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (/.f64 c b) (*.f64 b b)) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
(neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(*.f64 (/.f64 c b) #s(literal -3/2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal -3/2 binary64))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (*.f64 #s(literal -3/2 binary64) (neg.f64 c))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -3/2 binary64) c))) (neg.f64 (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 c) #s(literal -3/2 binary64)) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal -3/2 binary64) (neg.f64 c)) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 #s(literal -3/2 binary64) c)) (neg.f64 b)) |
(/.f64 (*.f64 #s(literal -3/2 binary64) c) b) |
(*.f64 (neg.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)))) (neg.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))))) |
(*.f64 (fabs.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)))) (fabs.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 c (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 c #s(literal 3/2 binary64)) (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 c (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64)))) |
(pow.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5/2 binary64)))) (neg.f64 (pow.f64 b #s(literal 5/2 binary64)))) |
(/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (neg.f64 (neg.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64)))))) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (neg.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))))) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (neg.f64 (pow.f64 b #s(literal 5 binary64)))) |
(/.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)))) |
(+.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))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 5 binary64)))) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (neg.f64 c)) (neg.f64 c)) |
(*.f64 (*.f64 #s(literal -3/8 binary64) c) c) |
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) #s(literal -3/8 binary64))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 c (*.f64 #s(literal -3/8 binary64) c)) |
Compiled 42 319 to 3 786 computations (91.1% saved)
34 alts after pruning (33 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 759 | 26 | 785 |
| Fresh | 7 | 7 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 770 | 34 | 804 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.4% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
| 90.2% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) | |
| 32.5% | (/.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)) | |
| 32.6% | (/.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)) | |
| 95.2% | (/.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)) | |
| 93.5% | (/.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 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a c)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.1% | (/.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 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.4% | (/.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)) | |
| 90.1% | (/.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)) | |
| 90.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 (/.f64 c (*.f64 b b)) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 90.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
| 90.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 c a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.1% | (/.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)) | |
| 90.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) a) #s(literal -3/2 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 90.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 c a) (/.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)) | |
| 22.0% | (+.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)))) | |
| ▶ | 93.8% | #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 c (/.f64 #s(literal -1/2 binary64) b)))) |
| 90.6% | #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)))) | |
| ▶ | 95.9% | #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)))) |
| 94.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.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))) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 94.1% | #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)) | |
| 90.6% | #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)) | |
| 93.8% | #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)) | |
| 90.3% | #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)) | |
| ✓ | 80.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ▶ | 80.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| 95.0% | #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 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) | |
| 95.3% | #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 (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 b c))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) | |
| 95.4% | #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 (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 #s(literal -9/16 binary64) c) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 a (*.f64 c c)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) b)))) (pow.f64 c #s(literal 4 binary64))))) | |
| 95.6% | #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))) | |
| 95.3% | #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)))))) | |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))))) |
Compiled 3 569 to 2 404 computations (32.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a #s(literal -9/16 binary64)) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 0 | (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 c (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 0 | #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 c (/.f64 #s(literal -1/2 binary64) b)))) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.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 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) | |
| cost-diff | 2 | (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) | |
| 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 | 100 | 985 |
| 0 | 152 | 981 |
| 1 | 300 | 981 |
| 2 | 934 | 959 |
| 3 | 4877 | 953 |
| 0 | 8183 | 917 |
| 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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) |
#s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
(/.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) |
(fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) |
(/.f64 (*.f64 #s(literal -9/8 binary64) a) b) |
(*.f64 #s(literal -9/8 binary64) a) |
#s(literal -9/8 binary64) |
a |
b |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
(*.f64 #s(literal -3/2 binary64) c) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
c |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
a |
#s(literal -9/8 binary64) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
#s(literal -3/2 binary64) |
(/.f64 c b) |
#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 c (/.f64 #s(literal -1/2 binary64) b)))) |
(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 c (/.f64 #s(literal -1/2 binary64) b))) |
(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)))) |
(*.f64 a #s(literal -9/16 binary64)) |
a |
#s(literal -9/16 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 (*.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 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 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 (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)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) c) a))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))) |
(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)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) c) a))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
#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)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) c) a))) (*.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)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) c) a))) (*.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)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -3/8 binary64) b) b (*.f64 (*.f64 #s(literal -9/16 binary64) c) a))) (*.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) c) a))) (*.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) c) a))) |
(*.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 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.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 #s(literal -1/2 binary64) b) c)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 c (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b)))) a)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 c (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b)))) a)) |
(*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 c (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b)))) a) |
#s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
#s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 c (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) 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) |
(*.f64 c (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b))) |
(fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) |
(*.f64 c (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 c b) #s(literal -3/2 binary64))) |
(/.f64 (*.f64 #s(literal -9/8 binary64) a) b) |
(*.f64 #s(literal -9/8 binary64) a) |
#s(literal -9/8 binary64) |
a |
b |
(/.f64 (*.f64 c c) b) |
(*.f64 (/.f64 c b) c) |
(*.f64 c c) |
c |
(*.f64 #s(literal -3/2 binary64) c) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b))) a)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b))) a)) a) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b))) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b))) a) |
(fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(*.f64 c (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
c |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
a |
#s(literal -9/8 binary64) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
#s(literal -3/2 binary64) |
(/.f64 c b) |
#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 c (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64))) a (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))) |
(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 c (/.f64 #s(literal -1/2 binary64) b))) |
(fma.f64 (fma.f64 (*.f64 a (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64))) a (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(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)))) |
(fma.f64 (*.f64 a (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64))) |
(*.f64 a #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) a) |
a |
#s(literal -9/16 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 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 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 c (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30859375 | (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) | |
| accuracy | 0.33822250976844204 | (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.35384750976844204 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 3.6711955213042353 | #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 c (/.f64 #s(literal -1/2 binary64) b)))) | |
| accuracy | 0.27734375 | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) | |
| accuracy | 0.28125 | (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) | |
| accuracy | 0.2890625 | (/.f64 c (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 5.943405440400576 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) | |
| accuracy | 0.2734375 | (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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) | |
| accuracy | 0.28515625 | (/.f64 (*.f64 c c) b) | |
| accuracy | 0.37109375 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) | |
| accuracy | 5.943405440400576 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.27734375 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 12.522002776342662 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.32650375976844204 | (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 | 0.33431625976844204 | (/.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 | 0.359375 | (*.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 | 2.5606119429899508 | #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)))) |
| 151.0ms | 147× | 1 | valid |
| 59.0ms | 109× | 0 | valid |
Compiled 655 to 89 computations (86.4% saved)
ival-mult: 67.0ms (41.2% of total)ival-div: 29.0ms (17.8% of total)ival-pow: 20.0ms (12.3% of total)ival-add: 18.0ms (11.1% of total)adjust: 17.0ms (10.5% of total)const: 4.0ms (2.5% of total)ival-sqrt: 3.0ms (1.8% of total)ival-sub: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% 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) |
(fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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) |
(fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#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 c (/.f64 #s(literal -1/2 binary64) b)))) |
(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 c (/.f64 #s(literal -1/2 binary64) b))) |
(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)))) |
(*.f64 a #s(literal -9/16 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 (*.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 (*.f64 c c) b) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
(*.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 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (*.f64 c c) #s(literal -3/8 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 c) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -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))))))) |
(* -9/16 a) |
(* -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)))) |
(* -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))))))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (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))))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* a (pow c 3)) (pow b 5))) |
(* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (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)))) |
(* -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 (* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 3/2 (/ c 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 (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(* -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))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (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)))))) |
(+ (* 1/3 (* (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) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 2)) |
(+ (* -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)) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 3)) |
(+ (* 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))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -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 5)) |
(/ (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 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 c 2) b) |
(/ c (pow b 3)) |
(/ (pow c 3) (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) |
(/ (+ (* -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) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 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 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) 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))))))) |
(* (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 (- (* -9/8 (/ (* a c) (pow b 2))) 3/2)) |
(* 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)))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* -3/8 (pow c 2)) |
(* (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))))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* 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 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* 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)))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (* -9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* -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 (+ (* (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 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | c | @ | -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) (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (/ (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) 3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* c (/ -1/2 b))) (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (* a -9/16) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (/ (* c c) b) (/ c (pow b 3)) (* -3/2 (/ c b)) (/ (* (* c c) -3/8) (pow b 3)) (/ (pow c 3) (pow b 5)) (* (* c c) -3/8)) |
| 9.0ms | 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) (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (/ (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) 3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* c (/ -1/2 b))) (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (* a -9/16) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (/ (* c c) b) (/ c (pow b 3)) (* -3/2 (/ c b)) (/ (* (* c c) -3/8) (pow b 3)) (/ (pow c 3) (pow b 5)) (* (* c c) -3/8)) |
| 6.0ms | c | @ | 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) (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (/ (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) 3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* c (/ -1/2 b))) (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (* a -9/16) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (/ (* c c) b) (/ c (pow b 3)) (* -3/2 (/ c b)) (/ (* (* c c) -3/8) (pow b 3)) (/ (pow c 3) (pow b 5)) (* (* c c) -3/8)) |
| 6.0ms | 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) (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (/ (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) 3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* c (/ -1/2 b))) (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (* a -9/16) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (/ (* c c) b) (/ c (pow b 3)) (* -3/2 (/ c b)) (/ (* (* c c) -3/8) (pow b 3)) (/ (pow c 3) (pow b 5)) (* (* c c) -3/8)) |
| 5.0ms | 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) (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (/ (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) 3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* c (/ -1/2 b))) (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (* a -9/16) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (/ (* c c) b) (/ c (pow b 3)) (* -3/2 (/ c b)) (/ (* (* c c) -3/8) (pow b 3)) (/ (pow c 3) (pow b 5)) (* (* c c) -3/8)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 924 | 5097 |
| 1 | 3281 | 5056 |
| 0 | 8876 | 4822 |
| 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 c) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -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))))))) |
(* -9/16 a) |
(* -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)))) |
(* -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))))))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (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))))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* a (pow c 3)) (pow b 5))) |
(* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (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)))) |
(* -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 (* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 3/2 (/ c 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 (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(* -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))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (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)))))) |
(+ (* 1/3 (* (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) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 2)) |
(+ (* -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)) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 3)) |
(+ (* 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))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -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 5)) |
(/ (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 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 c 2) b) |
(/ c (pow b 3)) |
(/ (pow c 3) (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) |
(/ (+ (* -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) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 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 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) 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))))))) |
(* (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 (- (* -9/8 (/ (* a c) (pow b 2))) 3/2)) |
(* 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)))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* -3/8 (pow c 2)) |
(* (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))))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* 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 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* 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)))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (* -9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* -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 (+ (* (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 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
| Outputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) b) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.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 #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 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.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 #s(literal -135/128 binary64) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 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 #s(literal -9/16 binary64) a) (/.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)))) |
(+ (* -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 #s(literal -135/128 binary64) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 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 c) |
(*.f64 #s(literal -3/2 binary64) c) |
(+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) |
(* -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 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 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 #s(literal -27/16 binary64) a) (/.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 (/.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 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -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))) a) |
(* -3/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -3/2 binary64)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.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 (/.f64 c b) #s(literal -3/2 binary64))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -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))) |
(* -9/16 a) |
(*.f64 #s(literal -9/16 binary64) a) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3/8 binary64)) c) c) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) c) a) #s(literal -9/16 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3/8 binary64))) c) c) |
(* -9/16 (* a (pow c 3))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) a) (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64)))) 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 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 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 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -135/128 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64)))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (pow.f64 a #s(literal 3 binary64))) |
(* (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))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) (pow.f64 a #s(literal 3 binary64))) |
(* (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)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c b) (fma.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))))) (pow.f64 a #s(literal 3 binary64))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
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(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (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)))) |
(* (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)))) |
(*.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 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 9/16 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (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)))) |
(*.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 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 a c)))) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b) a)) (neg.f64 c)))) |
(* -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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 b) a) (/.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 (pow.f64 a #s(literal 3 binary64)))) (*.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 5 binary64)) c))))) c)) (neg.f64 c)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 9/16 binary64) a) a) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (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 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)))) |
(* -1 (* (pow c 3) (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))))) |
(*.f64 (neg.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)))) (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 a b) b) #s(literal 9/16 binary64)))) (pow.f64 c #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 748 |
| 0 | 152 | 745 |
| 1 | 526 | 733 |
| 2 | 3690 | 733 |
| 0 | 8318 | 713 |
| 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) |
(fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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) |
(fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#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 c (/.f64 #s(literal -1/2 binary64) b)))) |
(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 c (/.f64 #s(literal -1/2 binary64) b))) |
(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)))) |
(*.f64 a #s(literal -9/16 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 (*.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 (*.f64 c c) b) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
(*.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 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (*.f64 c c) #s(literal -3/8 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 b c) #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 (pow.f64 (*.f64 b c) #s(literal 6 binary64)) #s(literal -27/512 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 b c) #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 b c) #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 (*.f64 #s(literal 729/4096 binary64) (pow.f64 c #s(literal 9 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 b c) #s(literal 6 binary64)) #s(literal -27/512 binary64)))) (neg.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #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 b c) #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 (*.f64 #s(literal 729/4096 binary64) (pow.f64 c #s(literal 9 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 b c) #s(literal 6 binary64)) #s(literal -27/512 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 b c) #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 (*.f64 #s(literal 729/4096 binary64) (pow.f64 c #s(literal 9 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 b c) #s(literal 6 binary64)) #s(literal -27/512 binary64))) (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #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 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3/2 binary64))) (pow.f64 c #s(literal 3/2 binary64)) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
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(*.f64 (*.f64 c c) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 c (/.f64 (*.f64 c #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 c (*.f64 c (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c)) |
(/.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) b) |
(/.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(neg.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 c (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 c #s(literal 3/2 binary64)) (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 c (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64)))) |
(pow.f64 (/.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (neg.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))))) |
(/.f64 (pow.f64 c #s(literal 3 binary64)) (neg.f64 (pow.f64 b #s(literal 5 binary64)))) |
(/.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)))) |
(+.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))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 (log.f64 b) #s(literal 5 binary64)))) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (neg.f64 c)) (neg.f64 c)) |
(*.f64 (*.f64 c #s(literal -3/8 binary64)) c) |
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) #s(literal -3/8 binary64))) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 c (*.f64 c #s(literal -3/8 binary64))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
Compiled 39 169 to 3 362 computations (91.4% saved)
34 alts after pruning (32 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 549 | 18 | 567 |
| Fresh | 14 | 14 | 28 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 567 | 34 | 601 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.4% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
| 90.2% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -9/8 binary64)) (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c)) b) a)) a) #s(literal 3 binary64)) | |
| 90.2% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -9/8 binary64)) (/.f64 a b)) b (*.f64 b (*.f64 #s(literal -3/2 binary64) c))) (*.f64 b b)) a)) a) #s(literal 3 binary64)) | |
| 80.3% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) a) #s(literal 3 binary64)) | |
| 32.5% | (/.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)) | |
| 32.6% | (/.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)) | |
| 95.5% | (/.f64 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c a)) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.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)) | |
| 93.8% | (/.f64 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 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)) #s(literal 3 binary64)) | |
| 95.2% | (/.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)) | |
| 90.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) a) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.4% | (/.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)) | |
| 90.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 (/.f64 c (*.f64 b b)) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.1% | (/.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)) | |
| 90.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -9/8 binary64))) (*.f64 b b))) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) c)) (*.f64 c c))) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -9/8 binary64)) #s(literal 3/2 binary64)) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 80.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
| 22.0% | (+.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)))) | |
| ▶ | 95.9% | #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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 94.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.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))) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) | |
| ▶ | 90.6% | #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)) |
| 93.8% | #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)) | |
| ✓ | 80.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 80.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| 95.1% | #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 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) | |
| 95.3% | #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 (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))))) | |
| ▶ | 95.6% | #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))) |
| 95.3% | #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)))))) | |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))))) | |
| 93.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* c (/ -1/2 b))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))))) |
Compiled 3 712 to 2 484 computations (33.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.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) | |
| 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))) 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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 2 | (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)))) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.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 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) | |
| cost-diff | 2 | (/.f64 (/.f64 c (*.f64 b b)) b) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 2 | (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) | |
| cost-diff | 0 | #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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 | 111 | 1226 |
| 0 | 170 | 1206 |
| 1 | 338 | 1206 |
| 2 | 1042 | 1196 |
| 3 | 5176 | 1186 |
| 0 | 8498 | 1156 |
| 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) |
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) |
#s(literal -135/128 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 a a) |
a |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) |
(*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) |
(*.f64 #s(literal -9/16 binary64) a) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
(*.f64 b b) |
b |
#s(literal -3/8 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) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
#s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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) |
#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 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 #s(literal -3/8 binary64) a) b) |
(*.f64 #s(literal -3/8 binary64) a) |
#s(literal -3/8 binary64) |
a |
b |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) |
(*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) |
(/.f64 (/.f64 c (*.f64 b b)) b) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
a |
#s(literal -9/8 binary64) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
#s(literal -3/2 binary64) |
(/.f64 c b) |
#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 (-.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))) |
#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)) |
(*.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) |
(-.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)) |
(*.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) |
(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))) |
(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)))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) |
(pow.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(/.f64 c (pow.f64 b #s(literal 7 binary64))) |
c |
(pow.f64 b #s(literal 7 binary64)) |
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))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 a a)) |
#s(literal -9/16 binary64) |
(*.f64 a a) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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 (*.f64 #s(literal -135/128 binary64) a) (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))) (*.f64 (*.f64 c c) b))) (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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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) a) (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))) (*.f64 (*.f64 c c) b))) (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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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 (*.f64 #s(literal -135/128 binary64) a) (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))) (*.f64 (*.f64 c c) b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))) (*.f64 (*.f64 c c) b))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) a) (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))) (*.f64 (*.f64 c c) b))) |
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) |
#s(literal -135/128 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 a a) |
a |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b)) |
(*.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))) (*.f64 (*.f64 c c) b)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) |
(*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) |
(*.f64 #s(literal -9/16 binary64) a) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
(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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
#s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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) |
#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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64))) b)) |
(/.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 c (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64))) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 c (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) a) b) |
(*.f64 #s(literal -3/8 binary64) a) |
#s(literal -3/8 binary64) |
a |
b |
(/.f64 (*.f64 c c) b) |
(*.f64 (/.f64 c b) c) |
(*.f64 c c) |
c |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b) b) c) #s(literal -9/8 binary64)) a (*.f64 #s(literal -3/2 binary64) c)) b) a)) (*.f64 a #s(literal 3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b) b) c) #s(literal -9/8 binary64)) a (*.f64 #s(literal -3/2 binary64) c)) b) a)) a) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b) b) c) #s(literal -9/8 binary64)) a (*.f64 #s(literal -3/2 binary64) c)) b) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b) b) c) #s(literal -9/8 binary64)) a (*.f64 #s(literal -3/2 binary64) c)) b) a) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b) b) c) #s(literal -9/8 binary64)) a (*.f64 #s(literal -3/2 binary64) c)) b) |
(*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) |
(*.f64 (*.f64 c a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) |
(/.f64 (/.f64 c (*.f64 b b)) b) |
(/.f64 c (pow.f64 b #s(literal 3 binary64))) |
(/.f64 c (*.f64 b b)) |
(/.f64 (/.f64 c b) b) |
c |
(*.f64 b b) |
b |
a |
#s(literal -9/8 binary64) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
#s(literal -3/2 binary64) |
(/.f64 c b) |
#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 (-.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))) |
#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 (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) a) #s(literal -135/128 binary64) (/.f64 #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))) |
#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)) |
#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 (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) a) #s(literal -135/128 binary64) (/.f64 #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)) |
(*.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) |
(*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) a) #s(literal -135/128 binary64) (/.f64 #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) |
(-.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)) |
(-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) a) #s(literal -135/128 binary64) (/.f64 #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)) |
(*.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 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) a) #s(literal -135/128 binary64) (/.f64 #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) |
(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))) |
(fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) a) #s(literal -135/128 binary64) (/.f64 #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))) |
(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)))) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) a) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(pow.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(/.f64 c (pow.f64 b #s(literal 7 binary64))) |
c |
(pow.f64 b #s(literal 7 binary64)) |
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))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -9/16 binary64) a)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 a a)) |
(*.f64 (*.f64 #s(literal -9/16 binary64) a) a) |
#s(literal -9/16 binary64) |
(*.f64 a a) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30859375 | (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) | |
| accuracy | 0.36232377930532605 | (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.3984375 | (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) | |
| accuracy | 2.5606119429899508 | #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))) | |
| accuracy | 0.2734375 | (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) | |
| accuracy | 0.27734375 | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) | |
| accuracy | 0.28125 | (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) | |
| accuracy | 5.943405440400576 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) | |
| accuracy | 0.09375 | (/.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) | |
| accuracy | 0.28515625 | (/.f64 (*.f64 c c) b) | |
| accuracy | 0.28515625 | (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) | |
| accuracy | 5.94844203871064 | #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)) | |
| accuracy | 0.28125 | (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) | |
| accuracy | 0.37109375 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 5.943405440400576 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) | |
| accuracy | 12.51997694695298 | #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) | |
| accuracy | 0.30859375 | (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) | |
| accuracy | 0.33431625976844204 | (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) | |
| accuracy | 0.359375 | (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b)) | |
| accuracy | 2.5606119429899508 | #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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 161.0ms | 147× | 1 | valid |
| 69.0ms | 109× | 0 | valid |
Compiled 843 to 100 computations (88.1% saved)
ival-mult: 72.0ms (40.3% of total)ival-div: 37.0ms (20.7% of total)ival-pow: 20.0ms (11.2% of total)adjust: 19.0ms (10.6% of total)ival-add: 16.0ms (8.9% of total)const: 5.0ms (2.8% of total)ival-sub: 4.0ms (2.2% of total)ival-sqrt: 3.0ms (1.7% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
#s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
#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 (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 #s(literal -3/8 binary64) a) b) |
(/.f64 (/.f64 c (*.f64 b b)) b) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(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)))) |
#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))) |
#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)) |
(*.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) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(/.f64 (*.f64 c c) b) |
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 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)))))) |
(* -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)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ a b)) |
(+ (* -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))))))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -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 a 3) c) (pow b 7)) |
(* -3/8 (/ 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))))))) |
(* (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))))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (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))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(* -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)))) |
(* -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 (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -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 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(+ (* 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))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ c (pow b 3)) |
(+ (* 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))) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* -3/8 (pow b 2)) |
(/ (pow c 2) b) |
(/ (+ (* -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) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 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 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) 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 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* 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 (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* 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)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(* (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 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* 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 (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (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 (+ (* (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 (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | a | @ | 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 (pow c 4)) (* a a)) (* (* (* (+ (* (* -9/16 a) c) (* (* b b) -3/8)) c) c) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) b) (/ (* -3/8 a) b) (/ (/ c (* b b)) b) (/ (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) 3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (* (pow a 3) (/ c (pow b 7))) -135/128) (/ (* -9/16 (* a a)) (pow b 5))) (/ (+ (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)) (* (- (* (+ (* (+ (* (* (pow a 3) (/ c (pow b 7))) -135/128) (/ (* -9/16 (* a a)) (pow b 5))) c) (* (/ a (pow b 3)) -3/8)) c) (/ 1/2 b)) c) (* (* (* (+ (* (* -9/16 a) c) (* (* b b) -3/8)) c) c) (* b b)) (* (* b b) -3/8) (* -3/2 (/ c b)) (/ (* c c) b) (* (+ (* (* (* (/ (/ c (* b b)) b) c) a) -9/8) (* -3/2 (/ c b))) a) (* (pow a 3) (/ c (pow b 7))) (/ (* -9/16 (* a a)) (pow b 5)) (* (/ a (pow b 3)) -3/8)) |
| 9.0ms | 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 (pow c 4)) (* a a)) (* (* (* (+ (* (* -9/16 a) c) (* (* b b) -3/8)) c) c) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) b) (/ (* -3/8 a) b) (/ (/ c (* b b)) b) (/ (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) 3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (* (pow a 3) (/ c (pow b 7))) -135/128) (/ (* -9/16 (* a a)) (pow b 5))) (/ (+ (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)) (* (- (* (+ (* (+ (* (* (pow a 3) (/ c (pow b 7))) -135/128) (/ (* -9/16 (* a a)) (pow b 5))) c) (* (/ a (pow b 3)) -3/8)) c) (/ 1/2 b)) c) (* (* (* (+ (* (* -9/16 a) c) (* (* b b) -3/8)) c) c) (* b b)) (* (* b b) -3/8) (* -3/2 (/ c b)) (/ (* c c) b) (* (+ (* (* (* (/ (/ c (* b b)) b) c) a) -9/8) (* -3/2 (/ c b))) a) (* (pow a 3) (/ c (pow b 7))) (/ (* -9/16 (* a a)) (pow b 5)) (* (/ a (pow b 3)) -3/8)) |
| 7.0ms | 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 (pow c 4)) (* a a)) (* (* (* (+ (* (* -9/16 a) c) (* (* b b) -3/8)) c) c) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) b) (/ (* -3/8 a) b) (/ (/ c (* b b)) b) (/ (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) 3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (* (pow a 3) (/ c (pow b 7))) -135/128) (/ (* -9/16 (* a a)) (pow b 5))) (/ (+ (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)) (* (- (* (+ (* (+ (* (* (pow a 3) (/ c (pow b 7))) -135/128) (/ (* -9/16 (* a a)) (pow b 5))) c) (* (/ a (pow b 3)) -3/8)) c) (/ 1/2 b)) c) (* (* (* (+ (* (* -9/16 a) c) (* (* b b) -3/8)) c) c) (* b b)) (* (* b b) -3/8) (* -3/2 (/ c b)) (/ (* c c) b) (* (+ (* (* (* (/ (/ c (* b b)) b) c) a) -9/8) (* -3/2 (/ c b))) a) (* (pow a 3) (/ c (pow b 7))) (/ (* -9/16 (* a a)) (pow b 5)) (* (/ a (pow b 3)) -3/8)) |
| 7.0ms | 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 (pow c 4)) (* a a)) (* (* (* (+ (* (* -9/16 a) c) (* (* b b) -3/8)) c) c) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) b) (/ (* -3/8 a) b) (/ (/ c (* b b)) b) (/ (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) 3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (* (pow a 3) (/ c (pow b 7))) -135/128) (/ (* -9/16 (* a a)) (pow b 5))) (/ (+ (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)) (* (- (* (+ (* (+ (* (* (pow a 3) (/ c (pow b 7))) -135/128) (/ (* -9/16 (* a a)) (pow b 5))) c) (* (/ a (pow b 3)) -3/8)) c) (/ 1/2 b)) c) (* (* (* (+ (* (* -9/16 a) c) (* (* b b) -3/8)) c) c) (* b b)) (* (* b b) -3/8) (* -3/2 (/ c b)) (/ (* c c) b) (* (+ (* (* (* (/ (/ c (* b b)) b) c) a) -9/8) (* -3/2 (/ c b))) a) (* (pow a 3) (/ c (pow b 7))) (/ (* -9/16 (* a a)) (pow b 5)) (* (/ a (pow b 3)) -3/8)) |
| 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 (pow c 4)) (* a a)) (* (* (* (+ (* (* -9/16 a) c) (* (* b b) -3/8)) c) c) (* b b))) (pow b 7)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) b) (/ (* -3/8 a) b) (/ (/ c (* b b)) b) (/ (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) 3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (* (pow a 3) (/ c (pow b 7))) -135/128) (/ (* -9/16 (* a a)) (pow b 5))) (/ (+ (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)) (* (- (* (+ (* (+ (* (* (pow a 3) (/ c (pow b 7))) -135/128) (/ (* -9/16 (* a a)) (pow b 5))) c) (* (/ a (pow b 3)) -3/8)) c) (/ 1/2 b)) c) (* (* (* (+ (* (* -9/16 a) c) (* (* b b) -3/8)) c) c) (* b b)) (* (* b b) -3/8) (* -3/2 (/ c b)) (/ (* c c) b) (* (+ (* (* (* (/ (/ c (* b b)) b) c) a) -9/8) (* -3/2 (/ c b))) a) (* (pow a 3) (/ c (pow b 7))) (/ (* -9/16 (* a a)) (pow b 5)) (* (/ a (pow b 3)) -3/8)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 913 | 4868 |
| 1 | 3212 | 4837 |
| 0 | 8589 | 4616 |
| 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)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ a b)) |
(+ (* -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))))))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -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 a 3) c) (pow b 7)) |
(* -3/8 (/ 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))))))) |
(* (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))))) |
(* -9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (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))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(* -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)))) |
(* -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 (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -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 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(+ (* 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))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ c (pow b 3)) |
(+ (* 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))) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* -3/8 (pow b 2)) |
(/ (pow c 2) b) |
(/ (+ (* -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) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 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 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) 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 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* 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 (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* 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)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(* (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 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* 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 (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (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 (+ (* (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 (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
| 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 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (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 #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 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.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 #s(literal -135/128 binary64) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 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 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)))) |
(+ (* -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 #s(literal -135/128 binary64) a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 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 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 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 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 (/.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 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -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))) a) |
(* -3/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -3/2 binary64)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -1/2 binary64) c)) |
(* -3/8 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -3/8 binary64)) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.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 (/.f64 c b) #s(literal -3/2 binary64))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -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))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a)) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3/8 binary64)) c) c) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) c) a) #s(literal -9/16 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3/8 binary64))) c) c) |
(/ (* (pow a 3) c) (pow b 7)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(* 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 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 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 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -135/128 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64)))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (pow.f64 a #s(literal 3 binary64))) |
(* (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))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) (pow.f64 a #s(literal 3 binary64))) |
(* (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)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (fma.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) #s(literal -1/2 binary64))))) (pow.f64 a #s(literal 3 binary64))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
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(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(*.f64 (neg.f64 c) (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 (/ 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b) a)) (neg.f64 c)))) |
(* -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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 b) a) (/.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 (pow.f64 a #s(literal 3 binary64)))) (*.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 5 binary64)) c))))) c)) (neg.f64 c)))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 9/16 binary64) c) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 7 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 a b) b) #s(literal 9/16 binary64)))) (pow.f64 c #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 903 |
| 0 | 170 | 889 |
| 1 | 592 | 879 |
| 2 | 4180 | 869 |
| 0 | 8694 | 849 |
| 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
#s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
#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 (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 #s(literal -3/8 binary64) a) b) |
(/.f64 (/.f64 c (*.f64 b b)) b) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) |
(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)))) |
#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))) |
#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)) |
(*.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) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(/.f64 (*.f64 c c) b) |
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 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 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (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))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (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))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (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))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (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))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (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))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a) (*.f64 (/.f64 (neg.f64 c) b) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.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))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #s(literal 2 binary64)))) (neg.f64 (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 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))) |
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(/.f64 (*.f64 (fma.f64 #s(literal -27/8 binary64) (pow.f64 (/.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal 3 binary64))) a) (fma.f64 (pow.f64 (*.f64 #s(literal -9/8 binary64) a) #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (-.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))))) |
(/.f64 (*.f64 a (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -9/8 binary64) a) #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3/2 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 a (fma.f64 #s(literal -27/8 binary64) (pow.f64 (/.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 #s(literal -9/8 binary64) a) #s(literal 2 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (-.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) a (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a)) |
(fma.f64 a (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
(fma.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (*.f64 a (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) a)) |
(+.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) a) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a)) |
(+.f64 (*.f64 a (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (*.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
(+.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) (*.f64 a (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 a #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) (*.f64 a a)) a) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) a) (*.f64 a a)) |
(*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7/2 binary64))) (/.f64 c (pow.f64 b #s(literal 7/2 binary64)))) |
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (*.f64 (pow.f64 a #s(literal 3/2 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64))))) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) |
(*.f64 (*.f64 a a) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64))))) |
(*.f64 a (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) (pow.f64 b #s(literal 7/2 binary64))) (pow.f64 b #s(literal 7/2 binary64))) |
(/.f64 (*.f64 (neg.f64 c) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 c)) (neg.f64 (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (neg.f64 (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) (pow.f64 b #s(literal 7 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 a (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)) |
(*.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a))) (neg.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))))) |
(/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (neg.f64 (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (pow.f64 b #s(literal 5 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (neg.f64 (pow.f64 b #s(literal 5 binary64))))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a (*.f64 b b))) |
(*.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) b)) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 a b)) |
(*.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 a (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b b)) b) |
(/.f64 (*.f64 #s(literal 3/8 binary64) a) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 b b)) |
(/.f64 (*.f64 #s(literal -3/8 binary64) a) (pow.f64 b #s(literal 3 binary64))) |
(neg.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) |
Compiled 34 843 to 2 959 computations (91.5% saved)
39 alts after pruning (33 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 448 | 13 | 461 |
| Fresh | 7 | 20 | 27 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 456 | 39 | 495 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.4% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
| 90.2% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -9/8 binary64)) (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c)) b) a)) a) #s(literal 3 binary64)) | |
| 80.3% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) a) #s(literal 3 binary64)) | |
| 80.2% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) #s(literal 3 binary64)) a) | |
| 32.5% | (/.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)) | |
| 32.6% | (/.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)) | |
| 95.5% | (/.f64 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 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)) | |
| 93.8% | (/.f64 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 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)) #s(literal 3 binary64)) | |
| 95.2% | (/.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 (*.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) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) a) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) a) a) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.4% | (/.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)) | |
| 90.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 (/.f64 c (*.f64 b b)) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.1% | (/.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)) | |
| 90.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) c)) (*.f64 c c))) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -9/8 binary64)) #s(literal 3/2 binary64)) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 80.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) (*.f64 #s(literal 3 binary64) a)) |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 (/.f64 (/.f64 c b) b) c) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| ✓ | 95.9% | #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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 94.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.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))) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) | |
| 95.6% | #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))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a))) | |
| ✓ | 90.6% | #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)) |
| 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -3/8 binary64)) (/.f64 a b)) b (*.f64 b (*.f64 #s(literal -1/2 binary64) c))) (*.f64 b b))) | |
| 95.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 c b) #s(literal 3 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))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) #s(literal 1/4 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))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a) #s(literal 2 binary64)) (*.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 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))))) | |
| 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) b)) | |
| 90.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) | |
| 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c))) b)) | |
| 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)) | |
| 93.8% | #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)) | |
| ✓ | 80.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 80.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| 95.1% | #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 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) | |
| 95.3% | #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 (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))))) | |
| 95.3% | #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)))))) | |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))))) | |
| 93.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* c (/ -1/2 b))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))))) |
Compiled 6 589 to 2 095 computations (68.2% 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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.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 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)) |
(/.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)))) |
#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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) 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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 (/.f64 (/.f64 c b) b) c) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -9/8 binary64)) #s(literal 3/2 binary64)) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -3/8 binary64)) (/.f64 a b)) b (*.f64 b (*.f64 #s(literal -1/2 binary64) c))) (*.f64 b b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.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 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) c)) (*.f64 c c))) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -9/8 binary64))) (*.f64 b b))) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 (/.f64 c (*.f64 b b)) 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 (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 #s(literal -3/2 binary64) (*.f64 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 (*.f64 #s(literal -9/8 binary64) 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 (*.f64 #s(literal -9/8 binary64) 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -9/8 binary64)) (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c)) b) a)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -9/8 binary64)) (/.f64 a b)) b (*.f64 b (*.f64 #s(literal -3/2 binary64) c))) (*.f64 b b)) a)) a) #s(literal 3 binary64)) |
#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)) (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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) |
(/.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 (/.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)))) #s(approx (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) a) #s(literal -3/2 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.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 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
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#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 (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 #s(literal -9/16 binary64) c) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 a (*.f64 c c)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) b)))) (pow.f64 c #s(literal 4 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 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 c b) #s(literal 3 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))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) #s(literal 1/4 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))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a) #s(literal 2 binary64)) (*.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 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) (*.f64 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
5 calls:
| 20.0ms | c |
| 19.0ms | (*.f64 #s(literal 3 binary64) a) |
| 18.0ms | a |
| 17.0ms | b |
| 16.0ms | (/.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 |
|---|---|---|
| 95.9% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 95.9% | 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)) |
| 95.9% | 1 | a |
| 95.9% | 1 | b |
| 95.9% | 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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.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 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)) |
(/.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)))) |
#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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) 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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 (/.f64 (/.f64 c b) b) c) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -9/8 binary64)) #s(literal 3/2 binary64)) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -3/8 binary64)) (/.f64 a b)) b (*.f64 b (*.f64 #s(literal -1/2 binary64) c))) (*.f64 b b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.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 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) c)) (*.f64 c c))) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -9/8 binary64))) (*.f64 b b))) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 (/.f64 c (*.f64 b b)) 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 (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 #s(literal -3/2 binary64) (*.f64 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 (*.f64 #s(literal -9/8 binary64) 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 (*.f64 #s(literal -9/8 binary64) 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -9/8 binary64)) (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c)) b) a)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -9/8 binary64)) (/.f64 a b)) b (*.f64 b (*.f64 #s(literal -3/2 binary64) c))) (*.f64 b b)) a)) a) #s(literal 3 binary64)) |
#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)) (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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) |
(/.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 (/.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)))) #s(approx (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) a) #s(literal -3/2 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.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 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 c a) (/.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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 c a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.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))) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* c (/ -1/2 b))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))))) |
(/.f64 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) a) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 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)) #s(literal 3 binary64)) |
#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)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.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))) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
5 calls:
| 13.0ms | a |
| 13.0ms | (*.f64 #s(literal 3 binary64) a) |
| 12.0ms | b |
| 12.0ms | c |
| 11.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 94.1% | 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)) |
| 94.1% | 1 | a |
| 94.1% | 1 | c |
| 94.1% | 1 | 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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.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 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)) |
(/.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)))) |
#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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) 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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 (/.f64 (/.f64 c b) b) c) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -9/8 binary64)) #s(literal 3/2 binary64)) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -3/8 binary64)) (/.f64 a b)) b (*.f64 b (*.f64 #s(literal -1/2 binary64) c))) (*.f64 b b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.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 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) c)) (*.f64 c c))) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -9/8 binary64))) (*.f64 b b))) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 (/.f64 c (*.f64 b b)) 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 (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 #s(literal -3/2 binary64) (*.f64 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 (*.f64 #s(literal -9/8 binary64) 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 (*.f64 #s(literal -9/8 binary64) 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -9/8 binary64)) (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c)) b) a)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -9/8 binary64)) (/.f64 a b)) b (*.f64 b (*.f64 #s(literal -3/2 binary64) c))) (*.f64 b b)) a)) a) #s(literal 3 binary64)) |
#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)) (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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) |
(/.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 (/.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)))) #s(approx (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) a) #s(literal -3/2 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.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 (fma.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) a) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 c a) (/.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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 c a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a)) a)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) |
5 calls:
| 11.0ms | (*.f64 #s(literal 3 binary64) a) |
| 11.0ms | b |
| 11.0ms | c |
| 11.0ms | a |
| 10.0ms | (/.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 |
|---|---|---|
| 93.8% | 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)) |
| 93.8% | 1 | b |
| 93.8% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 93.8% | 1 | a |
| 93.8% | 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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.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 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)) |
(/.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)))) |
#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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) 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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 (/.f64 (/.f64 c b) b) c) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -9/8 binary64)) #s(literal 3/2 binary64)) c)) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -3/8 binary64)) (/.f64 a b)) b (*.f64 b (*.f64 #s(literal -1/2 binary64) c))) (*.f64 b b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.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 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) c)) (*.f64 c c))) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -9/8 binary64))) (*.f64 b b))) b)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 (/.f64 c (*.f64 b b)) 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 (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 #s(literal -3/2 binary64) (*.f64 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 (*.f64 #s(literal -9/8 binary64) 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 (*.f64 #s(literal -9/8 binary64) 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -9/8 binary64)) (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c)) b) a)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 c (*.f64 b b)) b) c) a) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) c) #s(literal -9/8 binary64)) (/.f64 a b)) b (*.f64 b (*.f64 #s(literal -3/2 binary64) c))) (*.f64 b b)) a)) a) #s(literal 3 binary64)) |
#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)) (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)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 (/.f64 (/.f64 c b) b) c) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
5 calls:
| 10.0ms | a |
| 9.0ms | (*.f64 #s(literal 3 binary64) a) |
| 9.0ms | (/.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)) |
| 9.0ms | c |
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 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)) |
| 90.6% | 1 | b |
| 90.6% | 1 | c |
| 90.6% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 90.6% | 1 | 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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.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 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)) |
(/.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)))) |
#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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 c c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b))) 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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) |
| Outputs |
|---|
#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)) |
5 calls:
| 6.0ms | (/.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) |
| 5.0ms | c |
| 5.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 90.6% | 1 | a |
| 90.6% | 1 | c |
| 90.6% | 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)) |
| 90.6% | 1 | 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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.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 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)) |
(/.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)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)) |
5 calls:
| 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)) |
| 4.0ms | a |
| 4.0ms | c |
| 4.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 90.5% | 1 | a |
| 90.5% | 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)) |
| 90.5% | 1 | b |
| 90.5% | 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 -9/8) (* c (/ c (pow b 3)))) (* -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 -9/8) (* c (/ c (pow b 3)))) (* -3/2 (/ c b))) (/.f64 #s(approx (+ (* (/ (* -9/8 a) b) (/ (* c c) b)) (* -3/2 c)) (*.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 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(approx (+ (* (* a -9/8) (* c (/ c (pow b 3)))) (* -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 (+ (* (* (* (/ c (pow b 3)) c) a) -9/8) (* -3/2 (/ c b))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) 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:
| 3.0ms | (*.f64 #s(literal 3 binary64) a) |
| 3.0ms | c |
| 3.0ms | b |
| 3.0ms | a |
| 3.0ms | (/.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 |
|---|---|---|
| 80.4% | 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)) |
| 80.4% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 80.4% | 1 | a |
| 80.4% | 1 | b |
| 80.4% | 1 | c |
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:
| 3.0ms | a |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | b |
| 1.0ms | c |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 80.2% | 1 | a |
| 80.2% | 1 | b |
| 80.2% | 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)) |
| 80.2% | 1 | c |
Compiled 23 to 26 computations (-13% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 391 |
| 1 | 178 | 391 |
| 2 | 472 | 389 |
| 3 | 2041 | 385 |
| 4 | 6668 | 385 |
| 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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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 (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.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))) (pow.f64 b #s(literal 5 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 (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 (/.f64 (/.f64 c b) b) c) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)) |
#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) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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 (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.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))) (pow.f64 b #s(literal 5 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 (+ (* (* a -9/16) (/ (pow c 3) (pow b 5))) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 (/.f64 (/.f64 c b) b) c) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)) c)) b)) |
#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 | 66 | 470 |
| 0 | 112 | 470 |
| 1 | 394 | 462 |
| 2 | 3028 | 462 |
| 0 | 8901 | 457 |
| 0 | 111 | 903 |
| 0 | 170 | 889 |
| 1 | 592 | 879 |
| 2 | 4180 | 869 |
| 0 | 8694 | 849 |
| 0 | 913 | 4868 |
| 1 | 3212 | 4837 |
| 0 | 8589 | 4616 |
| 0 | 924 | 5097 |
| 1 | 3281 | 5056 |
| 0 | 8876 | 4822 |
| 0 | 1135 | 6994 |
| 1 | 4033 | 6990 |
| 0 | 8163 | 6663 |
| 0 | 470 | 1964 |
| 1 | 1594 | 1948 |
| 2 | 6584 | 1948 |
| 0 | 8592 | 1850 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 551 to 263 computations (52.3% saved)
Compiled 816 to 252 computations (69.1% saved)
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