
Time bar (total: 16.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 2.3% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 11.3% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 21.1% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 28% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 40.1% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 975.0ms | 5 535× | 0 | valid |
| 836.0ms | 2 721× | 1 | valid |
| 283.0ms | 1 403× | 0 | invalid |
const: 487.0ms (28.5% of total)ival-mult: 338.0ms (19.8% of total)ival-<: 230.0ms (13.5% of total)ival-sub: 141.0ms (8.3% of total)ival-div: 136.0ms (8% of total)ival-sqrt: 99.0ms (5.8% of total)ival-neg: 97.0ms (5.7% of total)ival-add: 67.0ms (3.9% of total)adjust: 66.0ms (3.9% of total)ival-and: 36.0ms (2.1% of total)exact: 6.0ms (0.4% of total)ival-assert: 4.0ms (0.2% of total)| 2× | egg-herbie |
| 1 682× | div-sub |
| 1 088× | accelerator-lowering-fma.f32 |
| 1 088× | accelerator-lowering-fma.f64 |
| 1 038× | sub-neg |
| 782× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 175 |
| 1 | 160 | 160 |
| 2 | 445 | 160 |
| 3 | 1195 | 160 |
| 4 | 3280 | 160 |
| 5 | 6279 | 160 |
| 0 | 12 | 17 |
| 1 | 28 | 16 |
| 2 | 65 | 16 |
| 3 | 148 | 16 |
| 4 | 227 | 16 |
| 5 | 365 | 16 |
| 6 | 643 | 16 |
| 7 | 1095 | 16 |
| 8 | 2244 | 16 |
| 9 | 2500 | 16 |
| 10 | 2610 | 16 |
| 11 | 2665 | 16 |
| 12 | 2666 | 16 |
| 13 | 2666 | 16 |
| 0 | 2666 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
(fma.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) a) #s(literal 1/3 binary64) #s(literal 0 binary64)) |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a))) |
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a)))) |
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a))) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a))) |
(/ (+ (neg a) (sqrt (- (* a a) (* (* 3 b) c)))) (* 3 b)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 c) a)))) (* 3 c)) |
(/ (+ (neg c) (sqrt (- (* c c) (* (* 3 a) b)))) (* 3 a)) |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) (* 3 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a))) |
(/ (- (sqrt (+ (* b b) (* 3 (* a c)))) b) (* a -3)) |
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a)) |
(/ (+ b (sqrt (+ (* b b) (* a (* c -3))))) (* 3 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a)) |
(/ (- (sqrt (+ (* b b) (* 3 (* a c)))) b) (* 3 a)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a)))) |
(/ (- (sqrt (+ (* b b) (* 3 (* a c)))) b) (* 3 a)) |
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a))) |
(/ (+ b (sqrt (+ (* b b) (* a (* c -3))))) (* a -3)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a))) |
(/ (- (sqrt (+ (* b b) (* 3 (* a c)))) b) (* a -3)) |
(/ (+ (neg a) (sqrt (- (* a a) (* (* 3 b) c)))) (* 3 b)) |
(/ (- (sqrt (+ (* a a) (* b (* c -3)))) a) (* b 3)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 c) a)))) (* 3 c)) |
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) (* 3 c)) |
(/ (+ (neg c) (sqrt (- (* c c) (* (* 3 a) b)))) (* 3 a)) |
(/ (- (sqrt (+ (* c c) (* b (* a -3)))) c) (* 3 a)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 229 | 1 | (0.08674807681308926 0.09331935681487655 0.0005031139936338089) | 3 | (6.58786180982428e-5 236.52155376021005 7012241.76375614) | (+.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 | 227 | 12 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 226 | 3 |
| - | 1 | 26 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 226 | 3 | 0 |
| - | 1 | 9 | 17 |
| number | freq |
|---|---|
| 0 | 29 |
| 1 | 227 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 52.0ms | 178× | 1 | valid |
| 43.0ms | 334× | 0 | valid |
Compiled 176 to 52 computations (70.5% saved)
ival-sqrt: 19.0ms (30.7% of total)ival-add: 18.0ms (29.1% of total)ival-mult: 10.0ms (16.2% of total)ival-div: 5.0ms (8.1% of total)adjust: 3.0ms (4.9% of total)ival-sub: 3.0ms (4.9% of total)ival-neg: 2.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (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 | 192 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| ✓ | cost-diff | 192 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 1 088× | accelerator-lowering-fma.f32 |
| 1 088× | accelerator-lowering-fma.f64 |
| 712× | *-lowering-*.f32 |
| 712× | *-lowering-*.f64 |
| 434× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 1 | 28 | 64 |
| 2 | 65 | 64 |
| 3 | 148 | 64 |
| 4 | 227 | 64 |
| 5 | 365 | 64 |
| 6 | 643 | 64 |
| 7 | 1095 | 64 |
| 8 | 2244 | 64 |
| 9 | 2500 | 64 |
| 10 | 2610 | 64 |
| 11 | 2665 | 64 |
| 12 | 2666 | 64 |
| 13 | 2666 | 64 |
| 0 | 2666 | 60 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
(neg b) |
b |
(sqrt (- (* b b) (* (* 3 a) c))) |
(- (* b b) (* (* 3 a) c)) |
(* b b) |
(* (* 3 a) c) |
(* 3 a) |
3 |
a |
c |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
(fma.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) a) #s(literal 1/3 binary64) #s(literal 0 binary64)) |
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
b |
(sqrt (- (* b b) (* (* 3 a) c))) |
(sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) |
(- (* b b) (* (* 3 a) c)) |
(fma.f64 a (fma.f64 c #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
(* (* 3 a) c) |
(fma.f64 #s(literal 3 binary64) (fma.f64 a c #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 3 a) |
(fma.f64 #s(literal 3 binary64) a #s(literal 0 binary64)) |
3 |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| ✓ | accuracy | 99.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 55.7% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 24.0ms | 89× | 1 | valid |
| 18.0ms | 167× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-sqrt: 7.0ms (34.7% of total)ival-mult: 5.0ms (24.8% of total)ival-div: 2.0ms (9.9% of total)ival-add: 2.0ms (9.9% of total)ival-sub: 2.0ms (9.9% of total)adjust: 1.0ms (5% of total)ival-neg: 1.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))> |
#<alt (- (* b b) (* (* 3 a) c))> |
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))> |
#<alt (sqrt (- (* b b) (* (* 3 a) c)))> |
#<alt (* (* 3 a) c)> |
| Outputs |
|---|
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* 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)))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -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)> |
#<alt (/ (+ (* -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)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -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))))))))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* 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))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))> |
#<alt (* 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)))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))> |
#<alt (* -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))))))> |
#<alt (* -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))))))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* 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))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))> |
#<alt (* 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)))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))> |
#<alt (* -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))))))> |
#<alt (* -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))))))> |
#<alt (* -3 (* a c))> |
#<alt (- (pow b 2) (* 3 (* a c)))> |
#<alt (- (pow b 2) (* 3 (* a c)))> |
#<alt (- (pow b 2) (* 3 (* a c)))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (* -3 (* a c))> |
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))> |
#<alt (* -3 (* a c))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (* -3 (* a c))> |
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))> |
#<alt (* -3 (* a c))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))> |
#<alt (+ (* 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)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -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)> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))> |
#<alt (* -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)))))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -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)))))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (+ (* -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))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))> |
#<alt (+ (* -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)))))> |
#<alt (+ (* -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)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))> |
#<alt (* 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))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))> |
#<alt (* 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))))))> |
#<alt (* 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)))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))> |
#<alt (* -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)))))))> |
#<alt (* -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)))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* (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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -3/2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* 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)))))> |
#<alt (* 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))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))> |
#<alt b> |
#<alt (+ b (* -3/2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* 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)))))> |
#<alt (* 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))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
#<alt (* 3 (* a c))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 1.0ms | a | @ | -inf | (sqrt (- (* b b) (* (* 3 a) c))) |
| 1.0ms | b | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1.0ms | a | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1.0ms | c | @ | 0 | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1× | batch-egg-rewrite |
| 4 876× | accelerator-lowering-fma.f32 |
| 4 876× | accelerator-lowering-fma.f64 |
| 3 870× | *-lowering-*.f32 |
| 3 870× | *-lowering-*.f64 |
| 2 328× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 1 | 63 | 52 |
| 2 | 517 | 52 |
| 3 | 6808 | 52 |
| 0 | 8097 | 48 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
(- (* b b) (* (* 3 a) c)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
(sqrt (- (* b b) (* (* 3 a) c))) |
(* (* 3 a) c) |
| Outputs |
|---|
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
(+.f64 b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) b) |
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(+.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) |
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) b) |
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) b) |
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(-.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
(fma.f64 b #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
(fma.f64 #s(literal 1 binary64) b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64))))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64))))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64))))) b) |
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(*.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (-.f64 #s(literal 0 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64))))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(fabs.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64))))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64))))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64))))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))))) |
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (+.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))) |
(pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 9 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 a (*.f64 #s(literal 3 binary64) c)) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 a c) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) c) a) |
| 1× | egg-herbie |
| 10 788× | accelerator-lowering-fma.f32 |
| 10 788× | accelerator-lowering-fma.f64 |
| 7 910× | *-lowering-*.f32 |
| 7 910× | *-lowering-*.f64 |
| 2 502× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3562 |
| 1 | 1767 | 3539 |
| 2 | 6215 | 3496 |
| 0 | 8264 | 3326 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) 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 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)))))))) |
(* -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)))))))) |
(* (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 (* (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)))))) |
(* -3/2 (/ (* a c) 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)))))))) |
(* (sqrt (* 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 (* (sqrt (* 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)))))) |
(* -3 (* a c)) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -3 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -3 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -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))))) |
(* -1/2 (/ c 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) |
(* -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))))))) |
(* -1/2 (/ 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))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ 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))))) |
(* -1/2 (/ 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)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (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 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) 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 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b)))) 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 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b))) (fma.f64 #s(literal -1/2 binary64) (*.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)))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64)))) |
(* -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 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) 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 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 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))) |
(*.f64 a (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
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(* -1 b) |
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(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
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b |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
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(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) c) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(*.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(*.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))))) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c)))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))))))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
Compiled 23 748 to 2 047 computations (91.4% saved)
33 alts after pruning (33 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 553 | 33 | 586 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 554 | 33 | 587 |
| Status | Accuracy | Program |
|---|---|---|
| 80.5% | (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| ▶ | 90.5% | (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b)) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
| ▶ | 87.2% | (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
| 80.5% | (/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b) | |
| 87.2% | (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64)))) b) | |
| 90.5% | (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))))) b) | |
| 86.9% | (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 90.1% | (/.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b))) (fma.f64 #s(literal -1/2 binary64) (*.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)))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 80.2% | (/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 54.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (fma.f64 b b #s(literal 0 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.5% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 54.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (fma.f64 b b #s(literal 0 binary64))) (*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.0% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) b) (*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 55.4% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -3 binary64)) |
| 63.9% | (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 56.2% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 34.5% | (/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 55.1% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.4% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) | |
| ▶ | 80.3% | (/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) |
| ▶ | 64.1% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
| 90.1% | (/.f64 (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 86.8% | (/.f64 (*.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 80.2% | (/.f64 (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.4% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 54.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| 55.4% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) | |
| 90.3% | (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) | |
| 87.1% | (*.f64 c (fma.f64 c (fma.f64 c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) | |
| 80.4% | (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
Compiled 2 372 to 1 260 computations (46.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
| ✓ | cost-diff | 640 | (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) |
| ✓ | cost-diff | 0 | (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 704 | (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) a) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 c #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
| ✓ | cost-diff | 64 | (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b)) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
| ✓ | cost-diff | 320 | (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b)) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) |
| ✓ | cost-diff | 704 | (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b) |
| 5 498× | accelerator-lowering-fma.f32 |
| 5 498× | accelerator-lowering-fma.f64 |
| 5 482× | *-lowering-*.f32 |
| 5 482× | *-lowering-*.f64 |
| 4 312× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 503 |
| 1 | 176 | 503 |
| 2 | 501 | 493 |
| 3 | 1439 | 475 |
| 4 | 2713 | 475 |
| 5 | 3223 | 475 |
| 6 | 3726 | 473 |
| 7 | 5914 | 471 |
| 0 | 8449 | 455 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* a (+ (* a (+ (* (/ (* c (* c c)) (pow b 5)) -9/16) (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b))) (/ (* (* c c) -3/8) (* b (* b b))))) (/ (* c -1/2) b)) |
a |
(+ (* a (+ (* (/ (* c (* c c)) (pow b 5)) -9/16) (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b))) (/ (* (* c c) -3/8) (* b (* b b)))) |
(+ (* (/ (* c (* c c)) (pow b 5)) -9/16) (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b)) |
(/ (* c (* c c)) (pow b 5)) |
(* c (* c c)) |
c |
(* c c) |
(pow b 5) |
b |
5 |
-9/16 |
(/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b) |
(* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) |
(* -1/6 a) |
-1/6 |
(/ (* (pow c 4) 405/64) (pow b 6)) |
(* (pow c 4) 405/64) |
(pow c 4) |
4 |
405/64 |
(pow b 6) |
6 |
(/ (* (* c c) -3/8) (* b (* b b))) |
(* (* c c) -3/8) |
-3/8 |
(* b (* b b)) |
(* b b) |
(/ (* c -1/2) b) |
(* c -1/2) |
-1/2 |
(/ (* c -1/2) b) |
(* c -1/2) |
c |
-1/2 |
b |
(/ (/ (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) a) -3) |
(/ (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) a) |
(- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) |
b |
(sqrt (+ (* a (* -3 c)) (+ (* b b) 0))) |
(+ (* a (* -3 c)) (+ (* b b) 0)) |
a |
(* -3 c) |
-3 |
c |
(+ (* b b) 0) |
0 |
(/ (* c (+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b))) (* 3 a)) |
(* c (+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b))) |
c |
(+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b)) |
(/ (* -9/8 (* a a)) (* b (* b b))) |
(* -9/8 (* a a)) |
-9/8 |
(* a a) |
a |
(* b (* b b)) |
b |
(* b b) |
(/ (* a -3/2) b) |
(* a -3/2) |
-3/2 |
(* 3 a) |
3 |
(+ (* a (+ (* a (/ (* (* c (* c c)) -9/16) (pow b 5))) (/ (* (* c c) -3/8) (* b (* b b))))) (/ (* c -1/2) b)) |
a |
(+ (* a (/ (* (* c (* c c)) -9/16) (pow b 5))) (/ (* (* c c) -3/8) (* b (* b b)))) |
(/ (* (* c (* c c)) -9/16) (pow b 5)) |
(* (* c (* c c)) -9/16) |
(* c (* c c)) |
c |
(* c c) |
-9/16 |
(pow b 5) |
b |
5 |
(/ (* (* c c) -3/8) (* b (* b b))) |
(* (* c c) -3/8) |
-3/8 |
(* b (* b b)) |
(* b b) |
(/ (* c -1/2) b) |
(* c -1/2) |
-1/2 |
| Outputs |
|---|
(+ (* a (+ (* a (+ (* (/ (* c (* c c)) (pow b 5)) -9/16) (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b))) (/ (* (* c c) -3/8) (* b (* b b))))) (/ (* c -1/2) b)) |
(fma.f64 a (*.f64 a (fma.f64 (*.f64 c c) (/.f64 (*.f64 c #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 7 binary64))))) (*.f64 (/.f64 c b) (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (fma.f64 b b #s(literal 0 binary64)))) #s(literal -1/2 binary64)))) |
a |
(+ (* a (+ (* (/ (* c (* c c)) (pow b 5)) -9/16) (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b))) (/ (* (* c c) -3/8) (* b (* b b)))) |
(fma.f64 a (/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 7 binary64))) (*.f64 (*.f64 c c) (fma.f64 c (/.f64 (*.f64 a #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(+ (* (/ (* c (* c c)) (pow b 5)) -9/16) (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b)) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 7 binary64)))) |
(/ (* c (* c c)) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(* c (* c c)) |
(*.f64 c (*.f64 c c)) |
c |
(* c c) |
(*.f64 c c) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
b |
5 |
#s(literal 5 binary64) |
-9/16 |
#s(literal -9/16 binary64) |
(/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b) |
(/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) |
(/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -1/6 a) |
(*.f64 a #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(/ (* (pow c 4) 405/64) (pow b 6)) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(* (pow c 4) 405/64) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) |
(pow c 4) |
(pow.f64 c #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
405/64 |
#s(literal 405/64 binary64) |
(pow b 6) |
(pow.f64 b #s(literal 6 binary64)) |
6 |
#s(literal 6 binary64) |
(/ (* (* c c) -3/8) (* b (* b b))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* (* c c) -3/8) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
-3/8 |
#s(literal -3/8 binary64) |
(* b (* b b)) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
(/ (* c -1/2) b) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c -1/2) |
(*.f64 c #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(/ (* c -1/2) b) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c -1/2) |
(*.f64 c #s(literal -1/2 binary64)) |
c |
-1/2 |
#s(literal -1/2 binary64) |
b |
(/ (/ (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) a) -3) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -3 binary64))) |
(/ (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) |
(- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) |
b |
(sqrt (+ (* a (* -3 c)) (+ (* b b) 0))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) |
(+ (* a (* -3 c)) (+ (* b b) 0)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
a |
(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
c |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(/ (* c (+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b))) (* 3 a)) |
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 c (/.f64 (*.f64 a #s(literal -9/8 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal -3/2 binary64)) #s(literal 3 binary64)))) |
(* c (+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b))) |
(*.f64 c (*.f64 (/.f64 a b) (fma.f64 c (/.f64 (*.f64 a #s(literal -9/8 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal -3/2 binary64)))) |
c |
(+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b)) |
(*.f64 (/.f64 a b) (fma.f64 c (/.f64 (*.f64 a #s(literal -9/8 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal -3/2 binary64))) |
(/ (* -9/8 (* a a)) (* b (* b b))) |
(/.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* -9/8 (* a a)) |
(*.f64 a (*.f64 a #s(literal -9/8 binary64))) |
-9/8 |
#s(literal -9/8 binary64) |
(* a a) |
(*.f64 a a) |
a |
(* b (* b b)) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
b |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
(/ (* a -3/2) b) |
(*.f64 #s(literal -3/2 binary64) (/.f64 a b)) |
(* a -3/2) |
(*.f64 a #s(literal -3/2 binary64)) |
-3/2 |
#s(literal -3/2 binary64) |
(* 3 a) |
(fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64)) |
3 |
#s(literal 3 binary64) |
(+ (* a (+ (* a (/ (* (* c (* c c)) -9/16) (pow b 5))) (/ (* (* c c) -3/8) (* b (* b b))))) (/ (* c -1/2) b)) |
(fma.f64 a (*.f64 (*.f64 c c) (fma.f64 c (/.f64 (*.f64 a #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
a |
(+ (* a (/ (* (* c (* c c)) -9/16) (pow b 5))) (/ (* (* c c) -3/8) (* b (* b b)))) |
(*.f64 (*.f64 c c) (fma.f64 c (/.f64 (*.f64 a #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/ (* (* c (* c c)) -9/16) (pow b 5)) |
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* (* c (* c c)) -9/16) |
(*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) |
(* c (* c c)) |
(*.f64 c (*.f64 c c)) |
c |
(* c c) |
(*.f64 c c) |
-9/16 |
#s(literal -9/16 binary64) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
b |
5 |
#s(literal 5 binary64) |
(/ (* (* c c) -3/8) (* b (* b b))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* (* c c) -3/8) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
-3/8 |
#s(literal -3/8 binary64) |
(* b (* b b)) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
(/ (* c -1/2) b) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c -1/2) |
(*.f64 c #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) |
| ✓ | accuracy | 99.5% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.7% | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) a) |
| ✓ | accuracy | 99.7% | (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -3 binary64)) |
| ✓ | accuracy | 55.7% | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
| ✓ | accuracy | 100.0% | (*.f64 c #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) |
| 114.0ms | 183× | 0 | valid |
| 68.0ms | 66× | 1 | valid |
| 12.0ms | 7× | 2 | valid |
Compiled 540 to 65 computations (88% saved)
ival-mult: 79.0ms (58.7% of total)ival-div: 21.0ms (15.6% of total)ival-add: 11.0ms (8.2% of total)ival-pow: 8.0ms (5.9% of total)adjust: 6.0ms (4.5% of total)const: 4.0ms (3% of total)ival-sqrt: 3.0ms (2.2% of total)ival-sub: 2.0ms (1.5% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b)> |
#<alt (+ (* a (+ (* (/ (* c (* c c)) (pow b 5)) -9/16) (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b))) (/ (* (* c c) -3/8) (* b (* b b))))> |
#<alt (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6)))> |
#<alt (+ (* a (+ (* a (+ (* (/ (* c (* c c)) (pow b 5)) -9/16) (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b))) (/ (* (* c c) -3/8) (* b (* b b))))) (/ (* c -1/2) b))> |
#<alt (/ (* c -1/2) b)> |
#<alt (* c -1/2)> |
#<alt (/ (/ (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) a) -3)> |
#<alt (/ (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) a)> |
#<alt (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))> |
#<alt (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))> |
#<alt (+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b))> |
#<alt (/ (* c (+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b))) (* 3 a))> |
#<alt (* c (+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b)))> |
#<alt (/ (* -9/8 (* a a)) (* b (* b b)))> |
#<alt (+ (* a (/ (* (* c (* c c)) -9/16) (pow b 5))) (/ (* (* c c) -3/8) (* b (* b b))))> |
#<alt (+ (* a (+ (* a (/ (* (* c (* c c)) -9/16) (pow b 5))) (/ (* (* c c) -3/8) (* b (* b b))))) (/ (* c -1/2) b))> |
#<alt (/ (* (* c (* c c)) -9/16) (pow b 5))> |
#<alt (* (* c (* c c)) -9/16)> |
#<alt (/ (* (pow c 4) 405/64) (pow b 6))> |
#<alt (/ (* (* c c) -3/8) (* b (* b b)))> |
#<alt (/ (* c (* c c)) (pow b 5))> |
#<alt (+ (* a (* -3 c)) (+ (* b b) 0))> |
#<alt (* b (* b b))> |
#<alt (* -9/8 (* a a))> |
#<alt (* (* c c) -3/8)> |
| Outputs |
|---|
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -3/8 (/ (pow c 2) (pow b 3)))> |
#<alt (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))> |
#<alt (+ (* -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))))))> |
#<alt (+ (* -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))))))> |
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))> |
#<alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))> |
#<alt (* (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)))))))> |
#<alt (* (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)))))))> |
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))> |
#<alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))> |
#<alt (* (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))))> |
#<alt (* (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))))> |
#<alt (* -3/8 (/ (pow c 2) (pow b 3)))> |
#<alt (* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))> |
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))> |
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))))> |
#<alt (* (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))))> |
#<alt (* (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))))> |
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))> |
#<alt (/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7))> |
#<alt (/ (+ (* -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))> |
#<alt (/ (+ (* -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))> |
#<alt (* -3/8 (/ (pow c 2) (pow b 3)))> |
#<alt (/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3))> |
#<alt (/ (+ (* -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))> |
#<alt (/ (+ (* -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))> |
#<alt (* -3/8 (/ (pow c 2) (pow b 3)))> |
#<alt (* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3)))> |
#<alt (* -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)))> |
#<alt (* -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)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 6)))> |
#<alt (* -1/2 (/ c b))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -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))))))))> |
#<alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))> |
#<alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))> |
#<alt (* (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)))))))> |
#<alt (* (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))))))))> |
#<alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))> |
#<alt (* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))> |
#<alt (* -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))))))> |
#<alt (* -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))))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))> |
#<alt (* 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))))> |
#<alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))> |
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))> |
#<alt (* (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)))))))> |
#<alt (* (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))))))> |
#<alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))> |
#<alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))> |
#<alt (* (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))))> |
#<alt (* (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))))> |
#<alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))> |
#<alt (/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))> |
#<alt (/ (+ (* -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))> |
#<alt (/ (+ (* -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))> |
#<alt (* -1/2 (/ c b))> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -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)> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))> |
#<alt (+ (* 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)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -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)> |
#<alt (* -2/3 (/ b a))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))> |
#<alt (* -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)))))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -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)))))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (+ (* -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))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))> |
#<alt (+ (* -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)))))> |
#<alt (+ (* -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)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))> |
#<alt (* 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))))> |
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))> |
#<alt (* 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))))))> |
#<alt (* 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)))))))> |
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))> |
#<alt (* -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)))))))> |
#<alt (* -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)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a))))> |
#<alt (* 3/2 (/ c b))> |
#<alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)> |
#<alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)> |
#<alt (/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)> |
#<alt (* 2 (/ b a))> |
#<alt (* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a)))))> |
#<alt (* 3/2 (/ c b))> |
#<alt (+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))> |
#<alt (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5))))))> |
#<alt (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a))))> |
#<alt (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))> |
#<alt (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))> |
#<alt (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* 3/2 (/ c b))> |
#<alt (* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))> |
#<alt (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))> |
#<alt (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))> |
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c))))> |
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c)))))> |
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c))))))> |
#<alt (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c)))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- b (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)> |
#<alt (/ (- (* 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)> |
#<alt (/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -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)> |
#<alt (* 2 b)> |
#<alt (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))> |
#<alt (* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))> |
#<alt (* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))> |
#<alt (* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))> |
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* 3/2 (/ (* a c) b))> |
#<alt (* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))> |
#<alt (* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))> |
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))> |
#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))> |
#<alt (* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt b> |
#<alt (+ b (* -3/2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))> |
#<alt (* 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)))))> |
#<alt (* 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))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))> |
#<alt b> |
#<alt (+ b (* -3/2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))> |
#<alt (* 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)))))> |
#<alt (* 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))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -3))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* (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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -3/2 (/ a b))> |
#<alt (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))> |
#<alt (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))> |
#<alt (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))> |
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))> |
#<alt (* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))> |
#<alt (* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))> |
#<alt (* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))> |
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))> |
#<alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))))> |
#<alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))))> |
#<alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))))> |
#<alt (* -3/2 (/ a b))> |
#<alt (* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))> |
#<alt (* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))> |
#<alt (* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))> |
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))> |
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))> |
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))> |
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))> |
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))> |
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))> |
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))> |
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))> |
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))> |
#<alt (/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3))> |
#<alt (/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3))> |
#<alt (/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3))> |
#<alt (* -3/2 (/ a b))> |
#<alt (/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b)> |
#<alt (/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b)> |
#<alt (/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b)> |
#<alt (* -3/2 (/ a b))> |
#<alt (* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b))> |
#<alt (* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b))> |
#<alt (* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b))> |
#<alt (* -1/2 (/ c b))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))> |
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* -1/2 (/ c b))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))> |
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#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (* -3 (* a c))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* -3 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -3 (* a c))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -9/8 (pow a 2))> |
#<alt (* -3/8 (pow c 2))> |
#<alt (* -3/8 (pow c 2))> |
#<alt (* -3/8 (pow c 2))> |
#<alt (* -3/8 (pow c 2))> |
#<alt (* -3/8 (pow c 2))> |
#<alt (* -3/8 (pow c 2))> |
#<alt (* -3/8 (pow c 2))> |
#<alt (* -3/8 (pow c 2))> |
#<alt (* -3/8 (pow c 2))> |
#<alt (* -3/8 (pow c 2))> |
#<alt (* -3/8 (pow c 2))> |
#<alt (* -3/8 (pow c 2))> |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | b | @ | inf | (/ (/ (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) a) -3) |
| 18.0ms | a | @ | inf | (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b) |
| 8.0ms | b | @ | -inf | (+ (* a (* -3 c)) (+ (* b b) 0)) |
| 4.0ms | a | @ | 0 | (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b) |
| 2.0ms | c | @ | -inf | (/ (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) a) |
| 1× | batch-egg-rewrite |
| 4 846× | *-lowering-*.f32 |
| 4 846× | *-lowering-*.f64 |
| 4 798× | /-lowering-/.f32 |
| 4 798× | /-lowering-/.f64 |
| 4 380× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 349 |
| 1 | 374 | 349 |
| 2 | 3631 | 349 |
| 0 | 9643 | 333 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b) |
(+ (* a (+ (* (/ (* c (* c c)) (pow b 5)) -9/16) (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b))) (/ (* (* c c) -3/8) (* b (* b b)))) |
(* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) |
(+ (* a (+ (* a (+ (* (/ (* c (* c c)) (pow b 5)) -9/16) (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b))) (/ (* (* c c) -3/8) (* b (* b b))))) (/ (* c -1/2) b)) |
(/ (* c -1/2) b) |
(* c -1/2) |
(/ (/ (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) a) -3) |
(/ (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) a) |
(- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) |
(sqrt (+ (* a (* -3 c)) (+ (* b b) 0))) |
(+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b)) |
(/ (* c (+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b))) (* 3 a)) |
(* c (+ (* c (/ (* -9/8 (* a a)) (* b (* b b)))) (/ (* a -3/2) b))) |
(/ (* -9/8 (* a a)) (* b (* b b))) |
(+ (* a (/ (* (* c (* c c)) -9/16) (pow b 5))) (/ (* (* c c) -3/8) (* b (* b b)))) |
(+ (* a (+ (* a (/ (* (* c (* c c)) -9/16) (pow b 5))) (/ (* (* c c) -3/8) (* b (* b b))))) (/ (* c -1/2) b)) |
(/ (* (* c (* c c)) -9/16) (pow b 5)) |
(* (* c (* c c)) -9/16) |
(/ (* (pow c 4) 405/64) (pow b 6)) |
(/ (* (* c c) -3/8) (* b (* b b))) |
(/ (* c (* c c)) (pow b 5)) |
(+ (* a (* -3 c)) (+ (* b b) 0)) |
(* b (* b b)) |
(* -9/8 (* a a)) |
(* (* c c) -3/8) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b))) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) b)) |
(/.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) b) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))))) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) b)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64)) b) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))))) (neg.f64 (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) (/.f64 #s(literal 1 binary64) b)) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) b))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) (/.f64 #s(literal 1 binary64) b))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(pow.f64 (*.f64 (/.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) b)) |
(*.f64 a (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) a) b)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)))) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (*.f64 #s(literal -1/6 binary64) a)) |
(*.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(+.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))))) |
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(+.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (*.f64 a (*.f64 #s(literal -1/6 binary64) a)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))))) |
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(*.f64 (*.f64 a #s(literal -9/8 binary64)) a) |
(*.f64 c (*.f64 c #s(literal -3/8 binary64))) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(*.f64 (*.f64 c #s(literal -3/8 binary64)) c) |
| 1× | egg-herbie |
| 10 056× | accelerator-lowering-fma.f32 |
| 10 056× | accelerator-lowering-fma.f64 |
| 8 562× | *-lowering-*.f32 |
| 8 562× | *-lowering-*.f64 |
| 4 988× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1035 | 11798 |
| 1 | 3307 | 11744 |
| 0 | 8525 | 11310 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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)))))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -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))))))) |
(* (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))))))) |
(* -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))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (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)))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (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))))) |
(* (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))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (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 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (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))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) 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)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (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)) |
(/ (+ (* -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)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -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)) |
(/ (+ (* -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)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -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))) |
(* -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))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 6))) |
(* -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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -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 3) (pow c 4)) (pow b 7))) |
(* -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)))))) |
(* -1/2 (/ 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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (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)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (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))) (* -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)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -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)) |
(* -1/2 (/ c 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) |
(/ (+ (* -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) |
(* -1/2 (/ c b)) |
(* -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)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -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))))) |
(* -1/2 (/ c 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) |
(* -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))))))) |
(* -1/2 (/ 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))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ 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))))) |
(* -1/2 (/ 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)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a)))) |
(* 3/2 (/ c b)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(* 2 (/ b a)) |
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a))))) |
(* 3/2 (/ c b)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)) |
(+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* 3/2 (/ c b)) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c)))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c)))))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c))))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -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) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ a b)) |
(+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))) |
(* -9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* -9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))))) |
(* -3/2 (/ a b)) |
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* -9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* -9/8 (/ (* (pow a 2) c) (pow b 3))) |
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* -9/8 (/ (* (pow a 2) c) (pow b 3))) |
(/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3)) |
(/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3)) |
(/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3)) |
(* -3/2 (/ a b)) |
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b) |
(* -3/2 (/ a b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1/2 (/ c b)) |
(* -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)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* -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))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -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))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(* -3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -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)))) |
(+ (* -9/16 (/ (* a (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)))) |
(* -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)))))) |
(* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* -9/16 (/ (* a (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 c 2) (* a (pow b 3)))) (* 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)))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* -9/16 (/ (* a (pow c 3)) (pow b 5))) |
(* (pow c 3) (- (* -9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c))))) |
(* (pow c 3) (- (* -9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c))))) |
(* (pow c 3) (- (* -9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c))))) |
(* -9/16 (/ (* a (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))))) |
(* -1 (* (pow c 3) (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))))) |
(* -1 (* (pow c 3) (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))))) |
(* -9/16 (/ (* a (pow c 3)) (pow b 5))) |
(/ (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) (pow b 5)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -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)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (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))))))) |
(* (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 (/ (* (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) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -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))))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (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 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -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) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (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 a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(* -1/2 (/ c 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))))) b) |
(* -1/2 (/ c b)) |
(* -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))))) b)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (pow c 3)) |
(* -9/16 (pow c 3)) |
(* -9/16 (pow c 3)) |
(* -9/16 (pow c 3)) |
(* -9/16 (pow c 3)) |
(* -9/16 (pow c 3)) |
(* -9/16 (pow c 3)) |
(* -9/16 (pow c 3)) |
(* -9/16 (pow c 3)) |
(* -9/16 (pow c 3)) |
(* -9/16 (pow c 3)) |
(* -9/16 (pow c 3)) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(/ (pow c 3) (pow b 5)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
| Outputs |
|---|
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a) (pow.f64 b #s(literal 7 binary64))) |
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b |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* -9/16 (pow c 3)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 6))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow c 3) (pow b 5)) |
(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 a #s(literal -3 binary64) (/.f64 (*.f64 b b) c))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -9/8 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(* -3/8 (pow c 2)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
Compiled 83 379 to 4 979 computations (94% saved)
87 alts after pruning (85 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 863 | 67 | 1 930 |
| Fresh | 10 | 18 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 876 | 87 | 1 963 |
| Status | Accuracy | Program |
|---|---|---|
| 90.5% | (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a a) (fma.f64 (*.f64 a (*.f64 c c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) | |
| ▶ | 90.5% | (fma.f64 (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
| 80.5% | (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| 90.4% | (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) | |
| 87.2% | (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 a (fma.f64 a (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) | |
| 86.9% | (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64))))) | |
| 87.2% | (fma.f64 a (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 c c) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b b))) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| 89.8% | (/.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))))) (*.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) a) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) | |
| 55.5% | (/.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a))) #s(literal -3 binary64)) | |
| 80.2% | (/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) | |
| 80.5% | (/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b) | |
| 80.4% | (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b))) | |
| 87.2% | (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64)))) b) | |
| 86.7% | (/.f64 (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))))) (pow.f64 b #s(literal 5 binary64))) | |
| 80.3% | (/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) b) #s(literal -3 binary64)) | |
| 80.2% | (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 c (*.f64 a a)) c) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 b b)) c))) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 86.9% | (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 80.3% | (/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 a a)) c) #s(literal -9/8 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 80.2% | (/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 80.3% | (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 (*.f64 c (*.f64 a a)) c)) (*.f64 b b))) b) a) #s(literal -3 binary64)) | |
| 57.0% | (/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a) #s(literal -3 binary64)) | |
| 56.4% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) a) #s(literal -3 binary64)) | |
| 57.0% | (/.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) | |
| 56.3% | (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) a) #s(literal -3 binary64)) | |
| 56.2% | (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 b a) (/.f64 b a) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a) (*.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a))))) #s(literal -3 binary64)) | |
| 54.7% | (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a))) (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a))) #s(literal -3 binary64)) | |
| 54.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (fma.f64 b b #s(literal 0 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 54.5% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) |
| 55.0% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) b) (*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 56.5% | (/.f64 (/.f64 (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) | |
| 54.8% | (/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a a)) #s(literal -3 binary64)) | |
| 34.5% | (/.f64 (/.f64 (-.f64 b (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64) b)) a) #s(literal -3 binary64)) | |
| 55.4% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -3 binary64)) a) | |
| 55.5% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) a) #s(literal -3 binary64)) | |
| 57.0% | (/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) a) #s(literal -3 binary64)) | |
| 57.0% | (/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -3 binary64)) | |
| 63.9% | (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 80.2% | (/.f64 (/.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (/.f64 c (*.f64 b (*.f64 b b))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b)))) a) #s(literal -3 binary64)) | |
| 90.1% | (/.f64 (/.f64 (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (*.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b)))) a) #s(literal -3 binary64)) | |
| 63.9% | (/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) | |
| 63.9% | (/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) a) #s(literal -3 binary64)) | |
| 57.0% | (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 56.2% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.8% | (/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a)) #s(literal -3 binary64)) | |
| 56.4% | (/.f64 (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 55.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 34.5% | (/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 55.1% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 80.2% | (/.f64 (*.f64 (fma.f64 a (/.f64 #s(literal -3/2 binary64) b) (/.f64 (*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (*.f64 c #s(literal 1/3 binary64))) a) | |
| 57.0% | (/.f64 (*.f64 (pow.f64 (/.f64 a (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) | |
| 63.9% | (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) (*.f64 #s(literal 3 binary64) a)) | |
| 55.4% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64))) #s(literal -3 binary64)) | |
| 55.4% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64)) a) | |
| 80.2% | (/.f64 (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 c b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 80.2% | (/.f64 (*.f64 (*.f64 a a) (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -3/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 80.3% | (/.f64 (*.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 80.3% | (/.f64 (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b))) #s(literal -3 binary64)) | |
| ✓ | 80.3% | (/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) |
| 80.1% | (/.f64 (*.f64 c (/.f64 (fma.f64 (*.f64 c (*.f64 a a)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 80.3% | (/.f64 (*.f64 c (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 64.0% | (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.2% | (/.f64 (*.f64 c (*.f64 (*.f64 a a) (fma.f64 #s(literal -9/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 80.3% | (/.f64 (*.f64 c (*.f64 c (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 c b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 80.2% | (/.f64 (*.f64 c (*.f64 a (fma.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 64.1% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
| 55.4% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -1 binary64))) #s(literal -3 binary64)) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 63.9% | (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) | |
| 54.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| 90.3% | (+.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) | |
| ▶ | 80.3% | (*.f64 (fma.f64 a (/.f64 #s(literal -3/2 binary64) b) (/.f64 (*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
| 90.0% | (*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c)) c))) | |
| 55.4% | (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) | |
| 55.4% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) | |
| ▶ | 64.0% | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| 55.4% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) | |
| 55.4% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 55.4% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/3 binary64))) | |
| ▶ | 80.3% | (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) |
| 90.1% | (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 b (*.f64 b b))) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (*.f64 b (*.f64 a a)) a)))))) | |
| 87.1% | (*.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) | |
| 90.3% | (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) a) (/.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 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) | |
| 80.4% | (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) | |
| 80.4% | (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))) |
Compiled 5 727 to 2 925 computations (48.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 384 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) |
| ✓ | cost-diff | 2880 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -3/2 binary64) b) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 a (/.f64 #s(literal -3/2 binary64) b) (/.f64 (*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
| ✓ | cost-diff | 704 | (fma.f64 a (/.f64 #s(literal -3/2 binary64) b) (/.f64 (*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 a (*.f64 b (*.f64 b b))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) a) |
| ✓ | cost-diff | 384 | (fma.f64 (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
| ✓ | cost-diff | 960 | (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | cost-diff | 1280 | (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) |
| 9 542× | accelerator-lowering-fma.f32 |
| 9 542× | accelerator-lowering-fma.f64 |
| 5 464× | *-lowering-*.f32 |
| 5 464× | *-lowering-*.f64 |
| 3 218× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 674 |
| 1 | 239 | 614 |
| 2 | 821 | 562 |
| 3 | 3876 | 542 |
| 4 | 5146 | 542 |
| 5 | 6962 | 542 |
| 0 | 8098 | 519 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b)) |
(+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) |
a |
(+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0))))) |
(* -1/6 a) |
-1/6 |
(/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0))) |
(* (* c (* c (* c c))) 405/64) |
(* c (* c (* c c))) |
c |
(* c (* c c)) |
(* c c) |
405/64 |
(* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)) |
b |
(+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0) |
(* b (+ (* b b) 0)) |
(+ (* b b) 0) |
0 |
(/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))) |
(* c (* (* c c) -9/16)) |
(* (* c c) -9/16) |
-9/16 |
(* (+ (* b b) 0) (* b (+ (* b b) 0))) |
(/ (* (* c c) -3/8) (* b (+ (* b b) 0))) |
(* (* c c) -3/8) |
-3/8 |
(/ (* c -1/2) b) |
(* c -1/2) |
-1/2 |
(* (/ -1/2 b) c) |
(/ -1/2 b) |
-1/2 |
b |
c |
(* (* c c) (+ (* -3/8 (/ a (* b (* b b)))) (/ -1/2 (* c b)))) |
(* c c) |
c |
(+ (* -3/8 (/ a (* b (* b b)))) (/ -1/2 (* c b))) |
-3/8 |
(/ a (* b (* b b))) |
a |
(* b (* b b)) |
b |
(* b b) |
(/ -1/2 (* c b)) |
-1/2 |
(* c b) |
(* (+ (* a (/ -3/2 b)) (/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0)))) (/ c (* a 3))) |
(+ (* a (/ -3/2 b)) (/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0)))) |
a |
(/ -3/2 b) |
-3/2 |
b |
(/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0))) |
(* c (* a (* a -9/8))) |
c |
(* a (* a -9/8)) |
(* a -9/8) |
-9/8 |
(* b (+ (* b b) 0)) |
(+ (* b b) 0) |
0 |
(/ c (* a 3)) |
(* a 3) |
3 |
(/ (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b)) (* 3 a)) |
(/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b)) |
(- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) |
(* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) |
(sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) |
(+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0)))) |
-9 |
(* a (* c (* a c))) |
a |
(* c (* a c)) |
c |
(* a c) |
(* b (* b (+ (* b b) 0))) |
b |
(* b (+ (* b b) 0)) |
(+ (* b b) 0) |
0 |
(* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0)) |
(sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) |
(+ (* 3 (* a c)) (+ (* b b) 0)) |
3 |
(* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b) |
(* 3 a) |
| Outputs |
|---|
(+ (* (+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b)) |
(fma.f64 a (*.f64 (/.f64 a (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64))) (/.f64 (*.f64 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c (fma.f64 b b #s(literal 0 binary64)))) a #s(literal -1/2 binary64)))) |
(+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) |
(fma.f64 c (*.f64 c (/.f64 #s(literal -3/8 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (/.f64 a (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64))) (/.f64 (*.f64 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b b #s(literal 0 binary64)))))) |
a |
(+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0))))) |
(*.f64 (*.f64 c (*.f64 c c)) (fma.f64 c (/.f64 (*.f64 a #s(literal -135/128 binary64)) (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -9/16 binary64) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(* -1/6 a) |
(*.f64 a #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0))) |
(/.f64 (*.f64 c (*.f64 c (*.f64 c (*.f64 c #s(literal 405/64 binary64))))) (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* (* c (* c (* c c))) 405/64) |
(*.f64 c (*.f64 c (*.f64 c (*.f64 c #s(literal 405/64 binary64))))) |
(* c (* c (* c c))) |
(*.f64 c (*.f64 c (*.f64 c c))) |
c |
(* c (* c c)) |
(*.f64 c (*.f64 c c)) |
(* c c) |
(*.f64 c c) |
405/64 |
#s(literal 405/64 binary64) |
(* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)) |
(fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
b |
(+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* b (+ (* b b) 0)) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))) |
(/.f64 (*.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64)))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* c (* (* c c) -9/16)) |
(*.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64)))) |
(* (* c c) -9/16) |
(*.f64 c (*.f64 c #s(literal -9/16 binary64))) |
-9/16 |
#s(literal -9/16 binary64) |
(* (+ (* b b) 0) (* b (+ (* b b) 0))) |
(fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/ (* (* c c) -3/8) (* b (+ (* b b) 0))) |
(*.f64 c (*.f64 c (/.f64 #s(literal -3/8 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(* (* c c) -3/8) |
(*.f64 c (*.f64 c #s(literal -3/8 binary64))) |
-3/8 |
#s(literal -3/8 binary64) |
(/ (* c -1/2) b) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c -1/2) |
(*.f64 c #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* (/ -1/2 b) c) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/ -1/2 b) |
(/.f64 #s(literal -1/2 binary64) b) |
-1/2 |
#s(literal -1/2 binary64) |
b |
c |
(* (* c c) (+ (* -3/8 (/ a (* b (* b b)))) (/ -1/2 (* c b)))) |
(*.f64 (*.f64 c c) (fma.f64 a (/.f64 #s(literal -3/8 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) |
(* c c) |
(*.f64 c c) |
c |
(+ (* -3/8 (/ a (* b (* b b)))) (/ -1/2 (* c b))) |
(fma.f64 a (/.f64 #s(literal -3/8 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
-3/8 |
#s(literal -3/8 binary64) |
(/ a (* b (* b b))) |
(/.f64 a (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) |
a |
(* b (* b b)) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
b |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
(/ -1/2 (* c b)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 c b)) |
-1/2 |
#s(literal -1/2 binary64) |
(* c b) |
(*.f64 c b) |
(* (+ (* a (/ -3/2 b)) (/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0)))) (/ c (* a 3))) |
(*.f64 (*.f64 (/.f64 a b) (fma.f64 c (*.f64 #s(literal -9/8 binary64) (/.f64 a (fma.f64 b b #s(literal 0 binary64)))) #s(literal -3/2 binary64))) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(+ (* a (/ -3/2 b)) (/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0)))) |
(*.f64 (/.f64 a b) (fma.f64 c (*.f64 #s(literal -9/8 binary64) (/.f64 a (fma.f64 b b #s(literal 0 binary64)))) #s(literal -3/2 binary64))) |
a |
(/ -3/2 b) |
(/.f64 #s(literal -3/2 binary64) b) |
-3/2 |
#s(literal -3/2 binary64) |
b |
(/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0))) |
(/.f64 (*.f64 a (*.f64 c (*.f64 a #s(literal -9/8 binary64)))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* c (* a (* a -9/8))) |
(*.f64 a (*.f64 c (*.f64 a #s(literal -9/8 binary64)))) |
c |
(* a (* a -9/8)) |
(*.f64 a (*.f64 a #s(literal -9/8 binary64))) |
(* a -9/8) |
(*.f64 a #s(literal -9/8 binary64)) |
-9/8 |
#s(literal -9/8 binary64) |
(* b (+ (* b b) 0)) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(/ c (* a 3)) |
(/.f64 c (*.f64 a #s(literal 3 binary64))) |
(* a 3) |
(*.f64 a #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(/ (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b)) (* 3 a)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c c))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) b) (*.f64 a #s(literal 3 binary64))) |
(/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c c))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) b) |
(- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) |
(fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c c))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) |
(fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c c))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c c))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0)))) |
(fma.f64 a (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c c))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) |
-9 |
#s(literal -9 binary64) |
(* a (* c (* a c))) |
(*.f64 a (*.f64 a (*.f64 c c))) |
a |
(* c (* a c)) |
(*.f64 a (*.f64 c c)) |
c |
(* a c) |
(*.f64 a c) |
(* b (* b (+ (* b b) 0))) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
b |
(* b (+ (* b b) 0)) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0)) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) |
(+ (* 3 (* a c)) (+ (* b b) 0)) |
(fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
3 |
#s(literal 3 binary64) |
(* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b) |
(fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) |
| ✓ | accuracy | 99.4% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64))) |
| ✓ | accuracy | 55.3% | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 c (*.f64 a #s(literal 3 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 b (fma.f64 b b #s(literal 0 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.4% | (*.f64 (fma.f64 a (/.f64 #s(literal -3/2 binary64) b) (/.f64 (*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 a (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1/2 binary64) (*.f64 c b)) |
| ✓ | accuracy | 99.5% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1/2 binary64) b) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.2% | (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) |
| 152.0ms | 76× | 1 | valid |
| 99.0ms | 180× | 0 | valid |
Compiled 809 to 77 computations (90.5% saved)
ival-mult: 129.0ms (60.8% of total)ival-div: 41.0ms (19.3% of total)adjust: 18.0ms (8.5% of total)ival-add: 13.0ms (6.1% of total)ival-sqrt: 4.0ms (1.9% of total)const: 4.0ms (1.9% of total)ival-sub: 2.0ms (0.9% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))> |
#<alt (+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0))))> |
#<alt (+ (* (+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b))> |
#<alt (* -1/6 a)> |
#<alt (* (/ -1/2 b) c)> |
#<alt (/ -1/2 b)> |
#<alt (* (* c c) (+ (* -3/8 (/ a (* b (* b b)))) (/ -1/2 (* c b))))> |
#<alt (* c c)> |
#<alt (+ (* -3/8 (/ a (* b (* b b)))) (/ -1/2 (* c b)))> |
#<alt (/ a (* b (* b b)))> |
#<alt (+ (* a (/ -3/2 b)) (/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0))))> |
#<alt (* (+ (* a (/ -3/2 b)) (/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0)))) (/ c (* a 3)))> |
#<alt (/ -3/2 b)> |
#<alt (/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0)))> |
#<alt (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b))> |
#<alt (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0)))> |
#<alt (/ (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b)) (* 3 a))> |
#<alt (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0)))))> |
#<alt (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)> |
#<alt (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))> |
#<alt (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0))))> |
#<alt (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))> |
#<alt (* b (* b b))> |
#<alt (/ -1/2 (* c b))> |
#<alt (* b (+ (* b b) 0))> |
#<alt (/ c (* a 3))> |
#<alt (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))> |
| Outputs |
|---|
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))> |
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))> |
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))> |
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))> |
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))> |
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))> |
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))> |
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))> |
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))> |
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))> |
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))> |
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))> |
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))> |
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))> |
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))> |
#<alt (* -3/8 (/ (pow c 2) (pow b 3)))> |
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#<alt (+ (* -1 (/ (+ (* 1/162 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2)))))> |
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#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))> |
#<alt (* -1 (* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/162 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))))> |
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#<alt (/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* 1/3 (/ (- (+ (* -81/8 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2)))))) (+ (* 3/4 (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (* 81/32 (* (pow a 3) (pow c 4)))))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))))) b)> |
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#<alt (pow b 2)> |
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#<alt (pow b 2)> |
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#<alt (pow b 6)> |
#<alt (pow b 6)> |
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#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (* 405/64 (/ (pow c 4) (pow b 7)))> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (/ -1/2 (* b c))> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (* 1/3 (/ c a))> |
#<alt (pow b 3)> |
#<alt (+ (* 3/2 (* a (* b c))) (pow b 3))> |
#<alt (+ (* a (+ (* -9/8 (/ (* a (pow c 2)) b)) (* 3/2 (* b c)))) (pow b 3))> |
#<alt (+ (* a (+ (* 3/2 (* b c)) (* a (+ (* -9/8 (/ (pow c 2) b)) (* 27/16 (/ (* a (pow c 3)) (pow b 3))))))) (pow b 3))> |
#<alt (* (sqrt (* a c)) (* (pow b 2) (sqrt 3)))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))> |
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))> |
#<alt (pow b 3)> |
#<alt (+ (* 3/2 (* a (* b c))) (pow b 3))> |
#<alt (+ (* c (+ (* -9/8 (/ (* (pow a 2) c) b)) (* 3/2 (* a b)))) (pow b 3))> |
#<alt (+ (* c (+ (* 3/2 (* a b)) (* c (+ (* -9/8 (/ (pow a 2) b)) (* 27/16 (/ (* (pow a 3) c) (pow b 3))))))) (pow b 3))> |
#<alt (* (sqrt (* a c)) (* (pow b 2) (sqrt 3)))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))))))> |
#<alt (* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))> |
#<alt (* (sqrt (* a c)) (* (pow b 2) (sqrt 3)))> |
#<alt (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3))))> |
#<alt (* (pow b 2) (+ (* (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))))))))> |
#<alt (* (pow b 2) (+ (* (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))))))))))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))> |
#<alt (* (pow b 3) (+ 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)))))))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (* (pow b 3) (+ 1 (* 3/2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))> |
#<alt (* -1 (* (pow b 3) (+ 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))))))))> |
180 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | b | @ | inf | (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b)) |
| 22.0ms | b | @ | 0 | (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) |
| 21.0ms | a | @ | -inf | (/ (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b)) (* 3 a)) |
| 20.0ms | c | @ | -inf | (* (/ -1/2 b) c) |
| 14.0ms | a | @ | 0 | (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b)) |
| 1× | batch-egg-rewrite |
| 5 284× | *-lowering-*.f32 |
| 5 284× | *-lowering-*.f64 |
| 3 614× | accelerator-lowering-fma.f32 |
| 3 614× | accelerator-lowering-fma.f64 |
| 3 452× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 451 |
| 1 | 457 | 401 |
| 2 | 4423 | 379 |
| 0 | 8614 | 361 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0))))) |
(+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) |
(+ (* (+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b)) |
(* -1/6 a) |
(* (/ -1/2 b) c) |
(/ -1/2 b) |
(* (* c c) (+ (* -3/8 (/ a (* b (* b b)))) (/ -1/2 (* c b)))) |
(* c c) |
(+ (* -3/8 (/ a (* b (* b b)))) (/ -1/2 (* c b))) |
(/ a (* b (* b b))) |
(+ (* a (/ -3/2 b)) (/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0)))) |
(* (+ (* a (/ -3/2 b)) (/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0)))) (/ c (* a 3))) |
(/ -3/2 b) |
(/ (* c (* a (* a -9/8))) (* b (+ (* b b) 0))) |
(/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b)) |
(- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) |
(/ (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) b) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0))) (* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) b)) (* 3 a)) |
(sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (+ (* b b) 0))))) |
(+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0) |
(/ (* (* c c) -3/8) (* b (+ (* b b) 0))) |
(/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))) |
(/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0))) |
(* b (* b b)) |
(/ -1/2 (* c b)) |
(* b (+ (* b b) 0)) |
(/ c (* a 3)) |
(* (sqrt (+ (* 3 (* a c)) (+ (* b b) 0))) (+ (* b b) 0)) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(+.f64 (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64)))) (*.f64 (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 a (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
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(+.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(fma.f64 b (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) b #s(literal 0 binary64)) |
(/.f64 (fma.f64 (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))) #s(literal 0 binary64)) (-.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 b b #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b b #s(literal 0 binary64))) |
(*.f64 b (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64))) |
(*.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) b) |
| 1× | egg-herbie |
| 8 064× | *-lowering-*.f32 |
| 8 064× | *-lowering-*.f64 |
| 5 582× | accelerator-lowering-fma.f32 |
| 5 582× | accelerator-lowering-fma.f64 |
| 3 262× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1772 | 17905 |
| 1 | 5781 | 17795 |
| 0 | 8125 | 17249 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (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)))))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -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))))))) |
(* (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))))))) |
(* -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))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (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)))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (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))))) |
(* (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))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (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 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (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))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) 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)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (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)) |
(/ (+ (* -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)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -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)) |
(/ (+ (* -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)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -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))) |
(* -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))) |
(* -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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -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 3) (pow c 4)) (pow b 7))) |
(* -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)))))) |
(* -1/2 (/ 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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (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)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (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))) (* -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)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -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)) |
(* -1/2 (/ c 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) |
(/ (+ (* -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) |
(* -1/2 (/ c b)) |
(* -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)) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
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(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
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(- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) |
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(- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) |
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(- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) |
(/ a (pow b 3)) |
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(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b) |
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(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* (sqrt (/ a c)) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))))))) |
(* a (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)) (+ (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* (pow a 9) c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a)) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (* 9/4 (/ (pow a 2) (pow b 3)))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))) (* c (- (+ (* -81/8 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))))) (+ (* 3/4 (* a (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8))))))) (* 81/32 (/ (pow a 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* (sqrt (/ c a)) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))))))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* a (pow c 9)))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))) |
(+ (* -1 (* b (* (sqrt 1/3) (sqrt 3)))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/2 (/ (sqrt 1/3) (* a (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* a (* c (sqrt 1/3))))))))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(* -3/2 (/ (* a c) b)) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -3/2 (* a c)) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 81/32 (/ (* (pow a 4) (pow c 4)) (pow b 6)))))))))))) (+ (* -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 b) |
(* -1 (* b (+ 2 (* -1 (/ (+ (* -3/2 (* a c)) (* 3 (* a c))) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -3/2 (* a c)) (* 3 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2)))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (+ (* -3/2 (* a (* c (- (* 9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))))) (+ (* 3/4 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3))))))) (pow b 6))) (+ (* -1 (/ (+ (* -3/2 (* a c)) (* 3 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2)))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 4)))))))) |
(* -3/2 (* a (* b c))) |
(* a (- (* a (- (* -9/2 (/ (pow c 2) b)) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c)))) |
(* a (- (* a (- (+ (* -9/2 (/ (pow c 2) b)) (* -27/16 (/ (* a (pow c 3)) (pow b 3)))) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c)))) |
(* a (- (* a (- (+ (* -9/2 (/ (pow c 2) b)) (* a (- (* a (- (* -81/8 (/ (pow c 4) (pow b 5))) (* -1/2 (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))))))) (* 27/16 (/ (pow c 3) (pow b 3)))))) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c)))) |
(* a (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) |
(* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))) |
(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))))) |
(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))))) |
(* -1 (* a (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))) |
(* -3/2 (* a (* b c))) |
(* c (- (* c (- (* -9/2 (/ (pow a 2) b)) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b)))) |
(* c (- (* c (- (+ (* -9/2 (/ (pow a 2) b)) (* -27/16 (/ (* (pow a 3) c) (pow b 3)))) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b)))) |
(* c (- (* c (- (+ (* -9/2 (/ (pow a 2) b)) (* c (- (* c (- (* -81/8 (/ (pow a 4) (pow b 5))) (* -1/2 (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))))) (* 27/16 (/ (pow a 3) (pow b 3)))))) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b)))) |
(* c (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) |
(* c (- (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))))) |
(* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))))) |
(* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))))))) |
(* -1 (* c (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (- (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))) |
(* a (* b (* c (sqrt -9)))) |
(* b (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9))))) |
(* b (+ (* a (* c (sqrt -9))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* b (+ (* a (* c (sqrt -9))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -9))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* -3/2 (* a (* b c))) |
(* b (- (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* b (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* b (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -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))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))))) |
(* 2 (pow b 3)) |
(* -1 (* (pow b 3) (- (* -3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* (pow b 3) (- (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* -1 (* (pow b 3) (- (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* 1/3 (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))) (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/3 (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b))))) (* 1/3 (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))) |
(+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2))))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow a 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))))) |
(* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))) (* -1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))))) |
(+ (* -1 (/ (+ (* 1/162 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))))) |
(* -1/2 (/ c b)) |
(* c (- (* 1/3 (* c (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))) (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))) (* c (+ (* 1/3 (* c (- (+ (* -81/8 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))))) (+ (* 3/4 (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8)))))) (* 81/32 (/ (pow a 3) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/3 (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2)))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow c 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))))) |
(* -1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))) |
(* -1 (* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/162 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* -1/3 (/ (* b (* (sqrt 1/3) (sqrt 3))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (sqrt -9)) (sqrt 1/3))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/3 (* b (+ (* -1/2 (/ (sqrt 1/3) (* (pow a 2) (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* (pow a 2) (* c (sqrt 1/3))))))))))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2))))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* 1/3 (/ (- (+ (* -81/8 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2)))))) (+ (* 3/4 (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (* 81/32 (* (pow a 3) (pow c 4)))))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/3 (/ (+ (* -3/2 c) (* 3 c)) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/3 (/ (+ (* -3/2 c) (* 3 c)) (pow b 2))) (+ (* -1/3 (/ (- (+ (* -9 (* a (pow c 2))) (* 9 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* 9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (+ (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (+ (* 3/2 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (* 27 (* (pow a 2) (pow c 3))))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/2 c) (* 3 c)) (pow b 2))) (+ (* -1/3 (/ (- (+ (* -9 (* a (pow c 2))) (* 9 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(pow b 2) |
(+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (pow b 2)) |
(+ (* (pow a 2) (+ (* -81/8 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -9/2 (/ (pow c 2) (pow b 2))))) (pow b 2)) |
(+ (* (pow a 2) (+ (* -9/2 (/ (pow c 2) (pow b 2))) (* (pow a 2) (+ (* -729/16 (/ (* (pow a 2) (pow c 6)) (pow b 10))) (* -81/8 (/ (pow c 4) (pow b 6))))))) (pow b 2)) |
(* a (* c (sqrt -9))) |
(* a (+ (* 1/2 (/ (pow b 4) (* (pow a 2) (* c (sqrt -9))))) (* c (sqrt -9)))) |
(* a (+ (* -1/8 (/ (pow b 8) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 4) (* (pow a 2) (* c (sqrt -9))))) (* c (sqrt -9))))) |
(* a (+ (* -1/8 (/ (pow b 8) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 12) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 4) (* (pow a 2) (* c (sqrt -9))))) (* c (sqrt -9)))))) |
(* -1 (* a (* c (sqrt -9)))) |
(* -1 (* a (+ (* 1/2 (/ (pow b 4) (* (pow a 2) (* c (sqrt -9))))) (* c (sqrt -9))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 8) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 4) (* (pow a 2) (* c (sqrt -9))))) (* c (sqrt -9)))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 8) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 12) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 4) (* (pow a 2) (* c (sqrt -9))))) (* c (sqrt -9))))))) |
(pow b 2) |
(+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (pow b 2)) |
(+ (* (pow c 2) (+ (* -81/8 (/ (* (pow a 4) (pow c 2)) (pow b 6))) (* -9/2 (/ (pow a 2) (pow b 2))))) (pow b 2)) |
(+ (* (pow c 2) (+ (* -9/2 (/ (pow a 2) (pow b 2))) (* (pow c 2) (+ (* -729/16 (/ (* (pow a 6) (pow c 2)) (pow b 10))) (* -81/8 (/ (pow a 4) (pow b 6))))))) (pow b 2)) |
(* a (* c (sqrt -9))) |
(* c (+ (* 1/2 (/ (pow b 4) (* a (* (pow c 2) (sqrt -9))))) (* a (sqrt -9)))) |
(* c (+ (* -1/8 (/ (pow b 8) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 4) (* a (* (pow c 2) (sqrt -9))))) (* a (sqrt -9))))) |
(* c (+ (* -1/8 (/ (pow b 8) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 12) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 4) (* a (* (pow c 2) (sqrt -9))))) (* a (sqrt -9)))))) |
(* -1 (* a (* c (sqrt -9)))) |
(* -1 (* c (+ (* 1/2 (/ (pow b 4) (* a (* (pow c 2) (sqrt -9))))) (* a (sqrt -9))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 8) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 4) (* a (* (pow c 2) (sqrt -9))))) (* a (sqrt -9)))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 8) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 12) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 4) (* a (* (pow c 2) (sqrt -9))))) (* a (sqrt -9))))))) |
(* a (* c (sqrt -9))) |
(+ (* 1/2 (/ (pow b 4) (* a (* c (sqrt -9))))) (* a (* c (sqrt -9)))) |
(+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* -1/8 (/ (pow b 4) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ 1 (* a (* c (sqrt -9)))))))) |
(+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* (pow b 4) (- (* 1/16 (/ (pow b 4) (* (pow a 5) (* (pow c 5) (pow (sqrt -9) 5))))) (* 1/8 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))))) (* 1/2 (/ 1 (* a (* c (sqrt -9)))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 2) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 2) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(* 1/3 (/ c a)) |
(pow b 3) |
(+ (* 3/2 (* a (* b c))) (pow b 3)) |
(+ (* a (+ (* -9/8 (/ (* a (pow c 2)) b)) (* 3/2 (* b c)))) (pow b 3)) |
(+ (* a (+ (* 3/2 (* b c)) (* a (+ (* -9/8 (/ (pow c 2) b)) (* 27/16 (/ (* a (pow c 3)) (pow b 3))))))) (pow b 3)) |
(* (sqrt (* a c)) (* (pow b 2) (sqrt 3))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))))) |
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) |
(pow b 3) |
(+ (* 3/2 (* a (* b c))) (pow b 3)) |
(+ (* c (+ (* -9/8 (/ (* (pow a 2) c) b)) (* 3/2 (* a b)))) (pow b 3)) |
(+ (* c (+ (* 3/2 (* a b)) (* c (+ (* -9/8 (/ (pow a 2) b)) (* 27/16 (/ (* (pow a 3) c) (pow b 3))))))) (pow b 3)) |
(* (sqrt (* a c)) (* (pow b 2) (sqrt 3))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))))) |
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) |
(* (sqrt (* a c)) (* (pow b 2) (sqrt 3))) |
(* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))) |
(* (pow b 2) (+ (* (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)))))))) |
(* (pow b 2) (+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt 3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt 3) 5)))))))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 3) (+ 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 (pow b 3)) |
(* -1 (* (pow b 3) (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* (pow b 3) (+ 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)))))))) |
| Outputs |
|---|
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal 135/128 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal 9/16 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal 135/128 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal 9/16 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal 135/128 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal 9/16 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 c (*.f64 c c)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c a)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 c (*.f64 c c)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c a)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 c (*.f64 c c)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c a)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 c (pow.f64 b #s(literal 5 binary64)))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 c (pow.f64 b #s(literal 5 binary64)))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 c (pow.f64 b #s(literal 5 binary64)))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 c (pow.f64 b #s(literal 5 binary64)))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 c (pow.f64 b #s(literal 5 binary64)))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 9/16 binary64) (*.f64 c (pow.f64 b #s(literal 5 binary64)))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))) (pow.f64 b #s(literal 7 binary64))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))) (pow.f64 b #s(literal 7 binary64))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))) (pow.f64 b #s(literal 7 binary64))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (*.f64 b b)) (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (*.f64 b b)) (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (*.f64 b b)) (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
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(/.f64 (*.f64 #s(literal 1/3 binary64) c) a) |
(* 1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) a) |
(* 1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) a) |
(* 1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) a) |
(* 1/3 (/ c a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) c) a) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(+ (* 3/2 (* a (* b c))) (pow b 3)) |
(fma.f64 b (*.f64 b b) (*.f64 (*.f64 a (*.f64 c b)) #s(literal 3/2 binary64))) |
(+ (* a (+ (* -9/8 (/ (* a (pow c 2)) b)) (* 3/2 (* b c)))) (pow b 3)) |
(fma.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 (*.f64 c b) #s(literal 3/2 binary64))) (*.f64 b (*.f64 b b))) |
(+ (* a (+ (* 3/2 (* b c)) (* a (+ (* -9/8 (/ (pow c 2) b)) (* 27/16 (/ (* a (pow c 3)) (pow b 3))))))) (pow b 3)) |
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) a) (*.f64 b (*.f64 b b))) #s(literal 27/16 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) b)) (*.f64 (*.f64 c b) #s(literal 3/2 binary64))) (*.f64 b (*.f64 b b))) |
(* (sqrt (* a c)) (* (pow b 2) (sqrt 3))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) |
(*.f64 a (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))) |
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64))))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))))) |
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64)))))))) |
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 b b)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (*.f64 (pow.f64 b #s(literal 8 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))))))) (neg.f64 a)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(+ (* 3/2 (* a (* b c))) (pow b 3)) |
(fma.f64 b (*.f64 b b) (*.f64 (*.f64 a (*.f64 c b)) #s(literal 3/2 binary64))) |
(+ (* c (+ (* -9/8 (/ (* (pow a 2) c) b)) (* 3/2 (* a b)))) (pow b 3)) |
(fma.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 (*.f64 a #s(literal 3/2 binary64)) b)) (*.f64 b (*.f64 b b))) |
(+ (* c (+ (* 3/2 (* a b)) (* c (+ (* -9/8 (/ (pow a 2) b)) (* 27/16 (/ (* (pow a 3) c) (pow b 3))))))) (pow b 3)) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a a) b) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 3/2 binary64)) b)) (*.f64 b (*.f64 b b))) |
(* (sqrt (* a c)) (* (pow b 2) (sqrt 3))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) a))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) a))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) a))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64)))))))) |
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 b b)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) a)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) a)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (pow.f64 b #s(literal 8 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) a)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))) (neg.f64 c)) |
(* (sqrt (* a c)) (* (pow b 2) (sqrt 3))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) |
(* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* (pow b 2) (+ (* (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)))))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* (pow b 2) (+ (* (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)))))))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a))))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b b)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) |
(* (pow b 3) (+ 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))))))) |
(*.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 b b)))))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (* (pow b 3) (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (* (pow b 3) (+ 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)))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
Compiled 100 474 to 5 514 computations (94.5% saved)
107 alts after pruning (103 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 717 | 39 | 1 756 |
| Fresh | 16 | 64 | 80 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 736 | 107 | 1 843 |
| Status | Accuracy | Program |
|---|---|---|
| 90.5% | (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a a) (fma.f64 (*.f64 a (*.f64 c c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) | |
| ▶ | 90.5% | (fma.f64 (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
| 87.2% | (fma.f64 (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) a) (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) (*.f64 b (*.f64 b b))) a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| 80.5% | (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| 90.4% | (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) | |
| 87.2% | (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 a (fma.f64 a (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) | |
| 54.9% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.7% | (/.f64 (fma.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 89.8% | (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) c)))) (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) | |
| 55.1% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 b (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.3% | (/.f64 (fma.f64 b (/.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.5% | (/.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a))) #s(literal -3 binary64)) | |
| 80.5% | (/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b) | |
| 80.4% | (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) c)) (*.f64 b (*.f64 b b))) | |
| 87.2% | (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64)))) b) | |
| 86.7% | (/.f64 (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))))) (pow.f64 b #s(literal 5 binary64))) | |
| 80.3% | (/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) b) #s(literal -3 binary64)) | |
| 86.9% | (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 55.0% | (/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) b)) b (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.3% | (/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 a a)) c) #s(literal -9/8 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 55.6% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) b (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 55.4% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (neg.f64 (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.2% | (/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 57.0% | (/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a) #s(literal -3 binary64)) | |
| 56.4% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) a) #s(literal -3 binary64)) | |
| ▶ | 57.0% | (/.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) |
| 55.3% | (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3/2 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))))) (/.f64 (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 55.1% | (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 56.3% | (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) a) #s(literal -3 binary64)) | |
| 56.2% | (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 b a) (/.f64 b a) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a) (*.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a))))) #s(literal -3 binary64)) | |
| 44.4% | (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b b)) (*.f64 b b)) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 54.7% | (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a))) (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a))) #s(literal -3 binary64)) | |
| 54.2% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.6% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (pow.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3/2 binary64))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 54.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (fma.f64 b b #s(literal 0 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.7% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) b) (/.f64 (*.f64 (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 54.1% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) b) (*.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 55.0% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) b) (*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (sqrt.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 9 binary64) (*.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 3 binary64)))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 56.5% | (/.f64 (/.f64 (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) | |
| 54.8% | (/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a a)) #s(literal -3 binary64)) | |
| 34.5% | (/.f64 (/.f64 (-.f64 b (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64) b)) a) #s(literal -3 binary64)) | |
| 55.4% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -3 binary64)) a) | |
| 55.5% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) a) #s(literal -3 binary64)) | |
| 57.0% | (/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) a) #s(literal -3 binary64)) | |
| 57.0% | (/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -3 binary64)) | |
| 55.4% | (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 63.9% | (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 90.1% | (/.f64 (/.f64 (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (*.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 3/2 binary64) (/.f64 a b)))) a) #s(literal -3 binary64)) | |
| 63.9% | (/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) | |
| 86.1% | (/.f64 (/.f64 (*.f64 a (fma.f64 a (fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 c c) b) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) a) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c c) b)))) (*.f64 (*.f64 c b) #s(literal -3/2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 63.9% | (/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) a) #s(literal -3 binary64)) | |
| 57.0% | (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 56.2% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.8% | (/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a)) #s(literal -3 binary64)) | |
| 55.4% | (/.f64 (-.f64 (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))))))) | |
| 56.4% | (/.f64 (-.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 54.5% | (/.f64 (-.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) | |
| 55.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 34.5% | (/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 55.1% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 57.0% | (/.f64 (*.f64 (pow.f64 (/.f64 a (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) | |
| 63.9% | (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 55.4% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64))) #s(literal -3 binary64)) |
| 55.4% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64)) a) | |
| 80.2% | (/.f64 (*.f64 (*.f64 a a) (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -3/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 80.3% | (/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) |
| 80.1% | (/.f64 (*.f64 c (/.f64 (fma.f64 (*.f64 c (*.f64 a a)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 64.0% | (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 80.2% | (/.f64 (*.f64 c (*.f64 (*.f64 a a) (fma.f64 #s(literal -9/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 80.2% | (/.f64 (*.f64 c (*.f64 a (fma.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 64.1% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
| 55.4% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -1 binary64))) #s(literal -3 binary64)) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 63.9% | (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) | |
| 54.0% | (-.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 54.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| 90.3% | (+.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) | |
| 80.2% | (*.f64 (fma.f64 a (/.f64 #s(literal -3/2 binary64) b) (/.f64 (*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) c))) | |
| 90.0% | (*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))) (-.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 c (*.f64 c c)) b))))) | |
| 90.0% | (*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) a) (pow.f64 b #s(literal 7 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c)) c))) | |
| 80.4% | (*.f64 (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) | |
| 55.4% | (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) | |
| 64.0% | (*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) | |
| 55.4% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) | |
| ✓ | 64.0% | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| 54.5% | (*.f64 (-.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) | |
| ▶ | 55.4% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
| 55.4% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 55.4% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/3 binary64))) | |
| 80.3% | (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 a #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c (*.f64 a a))) (*.f64 b b))) b)) (/.f64 c (*.f64 a #s(literal 3 binary64)))) | |
| 80.3% | (*.f64 (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) c) | |
| 80.2% | (*.f64 (*.f64 c (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 c b)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))))) (/.f64 c (*.f64 a #s(literal 3 binary64)))) | |
| 80.3% | (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -1/2 binary64) c))))) | |
| ✓ | 80.3% | (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) |
| 80.2% | (*.f64 (*.f64 c c) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) b (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) c))) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) | |
| 80.3% | (*.f64 (*.f64 c c) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) | |
| 80.3% | (*.f64 (*.f64 c c) (/.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)) b)) | |
| ▶ | 63.9% | (*.f64 (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
| 80.3% | (*.f64 (*.f64 c c) (*.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 c b)))) (neg.f64 a))) | |
| 80.3% | (*.f64 (*.f64 a (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b))) (/.f64 c (*.f64 a #s(literal 3 binary64)))) | |
| 90.1% | (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 b (*.f64 b b))) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (*.f64 b (*.f64 a a)) a)))))) | |
| 87.1% | (*.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) | |
| 90.3% | (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) a) (/.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 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) | |
| 80.4% | (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
Compiled 9 300 to 4 000 computations (57% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 64 | (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64))) #s(literal -3 binary64)) |
| ✓ | cost-diff | 7168 | (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) |
| ✓ | cost-diff | 64 | (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) |
| ✓ | cost-diff | 960 | (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
| ✓ | cost-diff | 64 | (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 c b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (*.f64 c b)) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 704 | (*.f64 (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) a) |
| ✓ | cost-diff | 384 | (fma.f64 (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
| ✓ | cost-diff | 960 | (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) |
| ✓ | cost-diff | 1280 | (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) |
| 8 156× | accelerator-lowering-fma.f32 |
| 8 156× | accelerator-lowering-fma.f64 |
| 4 456× | *-lowering-*.f32 |
| 4 456× | *-lowering-*.f64 |
| 2 278× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 590 |
| 1 | 194 | 532 |
| 2 | 676 | 482 |
| 3 | 3140 | 476 |
| 4 | 4164 | 476 |
| 5 | 6623 | 476 |
| 0 | 8520 | 453 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (* b b)))) a) (/ (* c -1/2) b)) |
(+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (* b b)))) |
a |
(+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0))))) |
(* -1/6 a) |
-1/6 |
(/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0))) |
(* (* c (* c (* c c))) 405/64) |
(* c (* c (* c c))) |
c |
(* c (* c c)) |
(* c c) |
405/64 |
(* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)) |
b |
(+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0) |
(* b (+ (* b b) 0)) |
(+ (* b b) 0) |
0 |
(/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))) |
(* c (* (* c c) -9/16)) |
(* (* c c) -9/16) |
-9/16 |
(* (+ (* b b) 0) (* b (+ (* b b) 0))) |
(/ (* (* c c) -3/8) (* b (* b b))) |
(* (* c c) -3/8) |
-3/8 |
(* b (* b b)) |
(* b b) |
(/ (* c -1/2) b) |
(* c -1/2) |
-1/2 |
(* (* c c) (/ -1/2 (* c b))) |
(* c c) |
c |
(/ -1/2 (* c b)) |
-1/2 |
(* c b) |
b |
(* (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) (/ (/ 1 a) -3)) |
(- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) |
b |
(sqrt (+ (* c (* a -3)) (+ (* b b) 0))) |
(+ (* c (* a -3)) (+ (* b b) 0)) |
c |
(* a -3) |
a |
-3 |
(+ (* b b) 0) |
0 |
(/ (/ 1 a) -3) |
(/ 1 a) |
1 |
(/ (/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) -3) |
(/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) |
(+ (* b b) 0) |
b |
0 |
(+ (* c (* a -3)) (+ (* b b) 0)) |
c |
(* a -3) |
a |
-3 |
(* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) |
(sqrt (+ (* c (* a -3)) (+ (* b b) 0))) |
(/ (* (/ 1 a) (pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1)) -3) |
(* (/ 1 a) (pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1)) |
(/ 1 a) |
1 |
a |
(pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1) |
(/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) |
b |
(sqrt (+ (* c (* a -3)) (+ (* b b) 0))) |
(+ (* c (* a -3)) (+ (* b b) 0)) |
c |
(* a -3) |
-3 |
(+ (* b b) 0) |
0 |
-1 |
| Outputs |
|---|
(+ (* (+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (* b b)))) a) (/ (* c -1/2) b)) |
(fma.f64 a (*.f64 (/.f64 a (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -135/128 binary64)) c) (*.f64 c (*.f64 c c))) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 c (/.f64 #s(literal -3/8 binary64) (fma.f64 b b #s(literal 0 binary64)))) a #s(literal -1/2 binary64)))) |
(+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (* b b)))) |
(fma.f64 (/.f64 a (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 a #s(literal -135/128 binary64)) c) (*.f64 c (*.f64 c c))) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) |
a |
(+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0))))) |
(*.f64 (*.f64 c (*.f64 c c)) (fma.f64 c (/.f64 (*.f64 a #s(literal -135/128 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -9/16 binary64) (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(* -1/6 a) |
(*.f64 a #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0))) |
(/.f64 (*.f64 c (*.f64 c (*.f64 c (*.f64 c #s(literal 405/64 binary64))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* (* c (* c (* c c))) 405/64) |
(*.f64 c (*.f64 c (*.f64 c (*.f64 c #s(literal 405/64 binary64))))) |
(* c (* c (* c c))) |
(*.f64 c (*.f64 c (*.f64 c c))) |
c |
(* c (* c c)) |
(*.f64 c (*.f64 c c)) |
(* c c) |
(*.f64 c c) |
405/64 |
#s(literal 405/64 binary64) |
(* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)) |
(fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
b |
(+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0) |
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* b (+ (* b b) 0)) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))) |
(/.f64 (*.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64)))) (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* c (* (* c c) -9/16)) |
(*.f64 c (*.f64 c (*.f64 c #s(literal -9/16 binary64)))) |
(* (* c c) -9/16) |
(*.f64 c (*.f64 c #s(literal -9/16 binary64))) |
-9/16 |
#s(literal -9/16 binary64) |
(* (+ (* b b) 0) (* b (+ (* b b) 0))) |
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/ (* (* c c) -3/8) (* b (* b b))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* (* c c) -3/8) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
-3/8 |
#s(literal -3/8 binary64) |
(* b (* b b)) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
(/ (* c -1/2) b) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c -1/2) |
(*.f64 c #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* (* c c) (/ -1/2 (* c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c c) |
(*.f64 c c) |
c |
(/ -1/2 (* c b)) |
(/.f64 #s(literal -1/2 binary64) (fma.f64 c b #s(literal 0 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(* c b) |
(fma.f64 c b #s(literal 0 binary64)) |
b |
(* (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) (/ (/ 1 a) -3)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) |
b |
(sqrt (+ (* c (* a -3)) (+ (* b b) 0))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) |
(+ (* c (* a -3)) (+ (* b b) 0)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
c |
(* a -3) |
(fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) |
a |
-3 |
#s(literal -3 binary64) |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(/ (/ 1 a) -3) |
(/.f64 #s(literal -1/3 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
(/ (/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) -3) |
(/.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64)))) |
(/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(/.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) |
(- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) |
(fma.f64 a (*.f64 c #s(literal 3 binary64)) #s(literal 0 binary64)) |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(+ (* c (* a -3)) (+ (* b b) 0)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
c |
(* a -3) |
(fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) |
a |
-3 |
#s(literal -3 binary64) |
(* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
(+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) |
(sqrt (+ (* c (* a -3)) (+ (* b b) 0))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) |
(/ (* (/ 1 a) (pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1)) -3) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(* (/ 1 a) (pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
a |
(pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) |
(/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
(- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) |
b |
(sqrt (+ (* c (* a -3)) (+ (* b b) 0))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) |
(+ (* c (* a -3)) (+ (* b b) 0)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
c |
(* a -3) |
(fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) |
-3 |
#s(literal -3 binary64) |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
-1 |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64))) #s(literal -3 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
| ✓ | accuracy | 55.7% | (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | accuracy | 99.7% | (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) |
| ✓ | accuracy | 56.8% | (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.7% | (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
| ✓ | accuracy | 55.7% | (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 100.0% | (*.f64 c b) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1/2 binary64) (*.f64 c b)) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.2% | (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)) |
| 105.0ms | 210× | 0 | valid |
| 23.0ms | 32× | 1 | valid |
| 14.0ms | 14× | 2 | valid |
Compiled 702 to 61 computations (91.3% saved)
ival-div: 44.0ms (40.9% of total)ival-mult: 38.0ms (35.3% of total)ival-add: 9.0ms (8.4% of total)adjust: 4.0ms (3.7% of total)const: 4.0ms (3.7% of total)ival-sub: 3.0ms (2.8% of total)ival-pow: 3.0ms (2.8% of total)ival-sqrt: 2.0ms (1.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))> |
#<alt (+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (* b b))))> |
#<alt (+ (* (+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (* b b)))) a) (/ (* c -1/2) b))> |
#<alt (* -1/6 a)> |
#<alt (* (* c c) (/ -1/2 (* c b)))> |
#<alt (* c c)> |
#<alt (/ -1/2 (* c b))> |
#<alt (* c b)> |
#<alt (/ (/ 1 a) -3)> |
#<alt (+ (* c (* a -3)) (+ (* b b) 0))> |
#<alt (* (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) (/ (/ 1 a) -3))> |
#<alt (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))> |
#<alt (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0)))> |
#<alt (/ (/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) -3)> |
#<alt (/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))> |
#<alt (pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1)> |
#<alt (/ (* (/ 1 a) (pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1)) -3)> |
#<alt (* (/ 1 a) (pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1))> |
#<alt (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)> |
#<alt (/ (* (* c c) -3/8) (* b (* b b)))> |
#<alt (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0))))> |
#<alt (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))> |
#<alt (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))> |
| Outputs |
|---|
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))> |
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))> |
#<alt (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))> |
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))> |
#<alt (* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))> |
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))> |
#<alt (* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))> |
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))> |
#<alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))> |
#<alt (* -135/128 (/ (* a (pow c 4)) (pow b 7)))> |
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))> |
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))> |
#<alt (/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))> |
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))> |
#<alt (/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))> |
#<alt (* -9/16 (/ (pow c 3) (pow b 5)))> |
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))> |
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))> |
#<alt (* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))> |
#<alt (* -3/8 (/ (pow c 2) (pow b 3)))> |
#<alt (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))> |
#<alt (+ (* -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))))))> |
#<alt (+ (* -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))))))> |
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))> |
#<alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))> |
#<alt (* (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)))))))> |
#<alt (* (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)))))))> |
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))> |
#<alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))> |
#<alt (* (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))))> |
#<alt (* (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))))> |
#<alt (* -3/8 (/ (pow c 2) (pow b 3)))> |
#<alt (* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))> |
#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))> |
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#<alt (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))> |
#<alt (/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c)> |
#<alt (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (/ b (* a (pow (sqrt -3) 2)))) c)> |
#<alt (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))) (/ b (* a (pow (sqrt -3) 2)))))) c)> |
#<alt (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a (pow (sqrt 3) 2))))) c))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) c))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) c))> |
#<alt (* 2/3 (/ b (* a c)))> |
#<alt (/ (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))) a)> |
#<alt (/ (+ (* 2/3 (/ b c)) (* a (- (* -1 (* a (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)> |
#<alt (/ (+ (* 2/3 (/ b c)) (* a (- (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3))))) (pow b 2))) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* 2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)> |
#<alt (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))> |
#<alt (/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a)> |
#<alt (/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow a 2)))) (/ b (* c (pow (sqrt -3) 2)))) a)> |
#<alt (/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))) (/ b (* c (pow (sqrt -3) 2)))))) a)> |
#<alt (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2))))) a))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) a))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) a))> |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | b | @ | inf | (/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
| 1.0ms | a | @ | -inf | (/ (/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) -3) |
| 1.0ms | c | @ | -inf | (/ (/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) -3) |
| 1.0ms | a | @ | inf | (/ (/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) -3) |
| 1.0ms | c | @ | inf | (/ (/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) -3) |
| 1× | batch-egg-rewrite |
| 4 408× | /-lowering-/.f32 |
| 4 408× | /-lowering-/.f64 |
| 4 266× | *-lowering-*.f32 |
| 4 266× | *-lowering-*.f64 |
| 3 466× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 371 |
| 1 | 385 | 301 |
| 2 | 3681 | 291 |
| 0 | 9198 | 276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0))))) |
(+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (* b b)))) |
(+ (* (+ (* a (+ (* (* -1/6 a) (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0)))) (/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))))) (/ (* (* c c) -3/8) (* b (* b b)))) a) (/ (* c -1/2) b)) |
(* -1/6 a) |
(* (* c c) (/ -1/2 (* c b))) |
(* c c) |
(/ -1/2 (* c b)) |
(* c b) |
(/ (/ 1 a) -3) |
(+ (* c (* a -3)) (+ (* b b) 0)) |
(* (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) (/ (/ 1 a) -3)) |
(- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) |
(- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) |
(/ (/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) -3) |
(/ (- (+ (* b b) 0) (+ (* c (* a -3)) (+ (* b b) 0))) (* a (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1) |
(/ (* (/ 1 a) (pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1)) -3) |
(* (/ 1 a) (pow (/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) -1)) |
(+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0) |
(/ (* (* c c) -3/8) (* b (* b b))) |
(/ (* c (* (* c c) -9/16)) (* (+ (* b b) 0) (* b (+ (* b b) 0)))) |
(/ (* (* c (* c (* c c))) 405/64) (* b (+ (* (* b (+ (* b b) 0)) (* b (+ (* b b) 0))) 0))) |
(/ 1 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(+.f64 (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))))) (*.f64 (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64)))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 a (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 c (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -9/16 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 c (*.f64 c c)) (/.f64 #s(literal -9/16 binary64) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (/.f64 #s(literal 405/64 binary64) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal -1/6 binary64) a)) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal -1/6 binary64) a)) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (/.f64 c (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
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(-.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(-.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) a))) |
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(-.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 b (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 b (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
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(fma.f64 (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) b (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
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(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
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(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) |
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(fma.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 c (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 405/64 binary64) (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 c (*.f64 c (*.f64 c c)))) |
(*.f64 (/.f64 c b) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 c (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) b)) |
(*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(*.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 #s(literal 405/64 binary64) b))) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 #s(literal 405/64 binary64) b)) (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 b (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 #s(literal 405/64 binary64) b)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (pow.f64 (/.f64 b c) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 b #s(literal 405/64 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -1 binary64)) (pow.f64 (/.f64 b #s(literal 405/64 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) c) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 c (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))))) |
(pow.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) |
| 1× | egg-herbie |
| 7 770× | *-lowering-*.f32 |
| 7 770× | *-lowering-*.f64 |
| 7 212× | accelerator-lowering-fma.f32 |
| 7 212× | accelerator-lowering-fma.f64 |
| 4 046× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1502 | 13185 |
| 1 | 4905 | 12812 |
| 0 | 9007 | 12344 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (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)))))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -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))))))) |
(* (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))))))) |
(* -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))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (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)))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (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))))) |
(* (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))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (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 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (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))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) 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)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (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)) |
(/ (+ (* -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)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -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)) |
(/ (+ (* -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)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -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))) |
(* -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))) |
(* -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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -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 3) (pow c 4)) (pow b 7))) |
(* -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)))))) |
(* -1/2 (/ 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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (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)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (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))) (* -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)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -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)) |
(* -1/2 (/ c 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) |
(/ (+ (* -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) |
(* -1/2 (/ c b)) |
(* -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)) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(/ -1/2 (* b c)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (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))))) |
(* -1/2 (/ c 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) |
(* -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))))))) |
(* -1/2 (/ 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)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -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))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ 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 -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -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) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1/2 (/ c 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) |
(/ (+ (* -27/32 (/ (* (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))) (* -27/128 (/ (* (pow a 3) (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 (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* -1/2 (/ 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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -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))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) |
(+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (- (* -3 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (pow (sqrt -3) 2))))))) |
(+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (- (* b (+ (* -3 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (* 3 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))))) (* 3 (/ 1 (* a (pow (sqrt -3) 2))))))) |
(* 3/2 (/ c b)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3 (/ (+ (* -27/32 (* (pow a 3) (pow c 4))) (* -27/128 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(* 2 (/ b a)) |
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -3 (/ (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2))))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* 9/16 (* (pow a 2) (pow c 3))))) (pow b 6))) (+ (* -3 (/ (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))) (pow b 4))) (* 3/2 (/ c (pow b 2))))) (* 2 (/ 1 a))))) |
(* 3/2 (/ c b)) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* -3 (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7)))))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b)))) |
(* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) |
(- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (* 3 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* -3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))) (pow c 3))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (/ b (* a (pow (sqrt -3) 2))))))) |
(* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) |
(+ (* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -3/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) |
(+ (* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) |
(* 3/2 (/ c b)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))) (* 27/16 (/ (pow c 3) (pow b 5)))))))) |
(* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))) a) |
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))) a) |
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))))) a) |
(* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* 3 (/ (* a b) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a))) a)) (* 3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -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) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))) 2))) |
(* -1 (* b (- (+ (* 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))))) 2))) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -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))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ 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))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -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))))) |
(* -1/2 (/ c 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) |
(* -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))))))) |
(* -1/2 (/ 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)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* 3/2 (/ c b)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)) |
(+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a)))) |
(* 3/2 (/ c b)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(* 2 (/ b a)) |
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a))))) |
(* 3/2 (/ c b)) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c)))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c)))))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c))))) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(pow b 6) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (* c (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (* c (pow (sqrt -3) 2))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (sqrt -3))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (* c (pow (sqrt -3) 2))))))) |
(* 2/3 (/ b (* a c))) |
(* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -3/8 (* a c)) (* 3/4 (* a c))) (pow b 4))) (* 2/3 (/ 1 (* a c)))) (* 1/2 (/ 1 (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a c)) (* 3/4 (* a c)))))) (+ (* -9/16 (* (pow a 2) (pow c 2))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (* 2/3 (/ 1 (* a c)))) (+ (* -3/8 (/ (* a c) (pow b 4))) (+ (* 3/4 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))))) |
(/ 1/2 b) |
(* -1 (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)) |
(* -1 (/ (- (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1/2 (* 3/8 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ (- (* -1 (/ (+ (* 27/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) b)) |
(* 2/3 (/ b (* a c))) |
(/ (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) c) |
(/ (+ (* 2/3 (/ b a)) (* c (- (* -1 (* c (+ (* -3/8 (/ a (pow b 3))) (* 3/4 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* 2/3 (/ b a)) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/8 (/ a (pow b 3))) (* 3/4 (/ a (pow b 3))))) (pow b 2))) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* 2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -3/8 (/ a (pow b 3))) (* 3/4 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (/ b (* a (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))) (/ b (* a (pow (sqrt -3) 2)))))) c) |
(* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a (pow (sqrt 3) 2))))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) c)) |
(* 2/3 (/ b (* a c))) |
(/ (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))) a) |
(/ (+ (* 2/3 (/ b c)) (* a (- (* -1 (* a (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* 2/3 (/ b c)) (* a (- (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3))))) (pow b 2))) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* 2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow a 2)))) (/ b (* c (pow (sqrt -3) 2)))) a) |
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))) (/ b (* c (pow (sqrt -3) 2)))))) a) |
(* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2))))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) a)) |
| Outputs |
|---|
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 5 binary64)) a)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
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(/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) c)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (*.f64 c b) (*.f64 #s(literal 3 binary64) a))) c))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) c)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))))) (neg.f64 c)) (/.f64 (*.f64 c b) (*.f64 #s(literal 3 binary64) a))) c))) (neg.f64 c)) |
(* 2/3 (/ b (* a c))) |
(/.f64 (*.f64 #s(literal 2/3 binary64) b) (*.f64 c a)) |
(/ (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))) a) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) (*.f64 #s(literal 2/3 binary64) (/.f64 b c))) a) |
(/ (+ (* 2/3 (/ b c)) (* a (- (* -1 (* a (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 #s(literal 2/3 binary64) (/.f64 b c))) a) |
(/ (+ (* 2/3 (/ b c)) (* a (- (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3))))) (pow b 2))) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* 2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal 3/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 2/9 binary64) (*.f64 b (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)))) (*.f64 c c)))) (neg.f64 a) (/.f64 (*.f64 #s(literal -3/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 #s(literal 2/3 binary64) (/.f64 b c))) a) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)))) |
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 b c)) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) a) |
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow a 2)))) (/ b (* c (pow (sqrt -3) 2)))) a) |
(/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (*.f64 a a))) (*.f64 #s(literal 1/3 binary64) (/.f64 b c))) a) |
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))) (/ b (* c (pow (sqrt -3) 2)))))) a) |
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64))))) (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) a)))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) a))) (/.f64 b (*.f64 c #s(literal -3 binary64)))))) a) |
(* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2))))) a)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 b (*.f64 c #s(literal -3 binary64)))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) a)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 a (*.f64 #s(literal 1/3 binary64) (/.f64 b c)))) a))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) a)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))) (neg.f64 a)) (*.f64 a (*.f64 #s(literal 1/3 binary64) (/.f64 b c)))) a))) (neg.f64 a)) |
Compiled 120 013 to 6 634 computations (94.5% saved)
64 alts after pruning (59 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 443 | 22 | 2 465 |
| Fresh | 61 | 37 | 98 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 2 508 | 64 | 2 572 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.5% | (fma.f64 (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
| 87.2% | (fma.f64 (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) a) (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) (*.f64 b (*.f64 b b))) a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| 80.5% | (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| 56.2% | (fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 90.4% | (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 (*.f64 b (fma.f64 b b #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))))) | |
| 80.5% | (/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b) | |
| 80.4% | (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) c)) (*.f64 b (*.f64 b b))) | |
| 87.2% | (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64)))) b) | |
| 80.3% | (/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) b) #s(literal -3 binary64)) | |
| 99.0% | (/.f64 (/.f64 (-.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) | |
| 56.3% | (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) #s(literal -3 binary64)) | |
| 54.8% | (/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a a)) #s(literal -3 binary64)) | |
| 34.5% | (/.f64 (/.f64 (-.f64 b (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64) b)) a) #s(literal -3 binary64)) | |
| 55.4% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -3 binary64)) a) | |
| 55.5% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) a) #s(literal -3 binary64)) | |
| 63.9% | (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 64.0% | (/.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) b) c) | |
| 63.9% | (/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) | |
| 99.1% | (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 c a)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) | |
| 63.9% | (/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) a) #s(literal -3 binary64)) | |
| 57.0% | (/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 54.8% | (/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a)) #s(literal -3 binary64)) | |
| 55.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 34.5% | (/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 55.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 57.0% | (/.f64 (*.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) | |
| 63.9% | (/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) (*.f64 #s(literal 3 binary64) a)) | |
| 64.0% | (/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64)) | |
| 57.0% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 64.0% | (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (*.f64 c c)) b) | |
| 55.4% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64)) a) | |
| 64.0% | (/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 64.0% | (/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) (*.f64 c b)) | |
| ✓ | 64.1% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
| 55.4% | (/.f64 (exp.f64 (fma.f64 (log.f64 a) #s(literal -1 binary64) (log.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) #s(literal -3 binary64)) | |
| 63.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (*.f64 c (*.f64 c #s(literal -1/2 binary64))))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 63.9% | (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) | |
| 54.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| 54.6% | (+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) b) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) | |
| 80.4% | (*.f64 (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) | |
| 55.4% | (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) | |
| 63.9% | (*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -1/2 binary64) c)) | |
| 64.0% | (*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 c b)) c) | |
| 64.0% | (*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) | |
| 55.4% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64))) | |
| 55.4% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) | |
| ✓ | 64.0% | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| 57.0% | (*.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))))) | |
| 55.4% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 55.5% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) | |
| 80.3% | (*.f64 (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) c) | |
| ✓ | 80.3% | (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) |
| 80.3% | (*.f64 (*.f64 c c) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) | |
| 63.9% | (*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) c) b)) | |
| 63.9% | (*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) | |
| 80.3% | (*.f64 (*.f64 c c) (/.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)) b)) | |
| 63.9% | (*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -1/2 binary64) c)))) | |
| ✓ | 63.9% | (*.f64 (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
| 63.9% | (*.f64 (*.f64 c c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1/2 binary64) b))) | |
| 80.3% | (*.f64 (*.f64 c c) (*.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 c b)))) (neg.f64 a))) | |
| 80.4% | (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
Compiled 7 356 to 1 630 computations (77.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 c b)) c) |
(/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) (*.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (*.f64 c c)) b) |
(/.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) b) c) |
(*.f64 (*.f64 c c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (*.f64 c (*.f64 c #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) a) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 b (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64) b)) a) #s(literal -3 binary64)) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b) |
(/.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 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/3 binary64))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -3 binary64)) a) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b))) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) c)) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(*.f64 (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) c) |
(*.f64 (*.f64 c c) (/.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)) b)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))) |
(*.f64 (*.f64 c c) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b))) #s(literal -3 binary64)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) b) #s(literal -3 binary64)) |
(*.f64 (*.f64 c c) (*.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 c b)))) (neg.f64 a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) b) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 c a)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 a a)) #s(literal -3 binary64)) |
(/.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a))) #s(literal -3 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (*.f64 c (*.f64 a (fma.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -1/2 binary64) c))))) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 a (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b))) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 a #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c (*.f64 a a))) (*.f64 b b))) b)) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (*.f64 c (/.f64 (fma.f64 (*.f64 c (*.f64 a a)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c (*.f64 (*.f64 a a) (fma.f64 #s(literal -9/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 a a)) c) #s(literal -9/8 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 a (/.f64 #s(literal -3/2 binary64) b) (/.f64 (*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (*.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (fma.f64 a (/.f64 #s(literal -3/2 binary64) b) (/.f64 (*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) (*.f64 c #s(literal 1/3 binary64))) a) |
(/.f64 (-.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) |
(*.f64 (*.f64 c c) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) b (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) c))) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 c (*.f64 a a)) c) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a (*.f64 b b)) c))) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
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(/.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b))) (fma.f64 #s(literal -1/2 binary64) (*.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)))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))))))) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3/2 binary64))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))))) (/.f64 (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64))))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (fma.f64 b b #s(literal 0 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 c a)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) |
5 calls:
| 70.0ms | (/.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)) |
| 63.0ms | a |
| 61.0ms | b |
| 56.0ms | (*.f64 #s(literal 3 binary64) a) |
| 41.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | a |
| 99.1% | 1 | b |
| 99.1% | 1 | c |
| 99.1% | 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)) |
| 99.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 c b)) c) |
(/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) (*.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (*.f64 c c)) b) |
(/.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) b) c) |
(*.f64 (*.f64 c c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (*.f64 c (*.f64 c #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) a) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 b (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64) b)) a) #s(literal -3 binary64)) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b) |
(/.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 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/3 binary64))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -3 binary64)) a) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b))) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) c)) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(*.f64 (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))) c) |
(*.f64 (*.f64 c c) (/.f64 (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)) b)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b))))) |
(*.f64 (*.f64 c c) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3/8 binary64))) (*.f64 b (*.f64 b b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b))) #s(literal -3 binary64)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) b) #s(literal -3 binary64)) |
(*.f64 (*.f64 c c) (*.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 c b)))) (neg.f64 a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
(/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) b) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b) |
5 calls:
| 37.0ms | c |
| 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)) |
| 16.0ms | (*.f64 #s(literal 3 binary64) a) |
| 16.0ms | b |
| 16.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 1 | a |
| 86.0% | 2 | b |
| 80.5% | 1 | c |
| 85.1% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 80.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 c b)) c) |
(/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) (*.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (*.f64 c c)) b) |
(/.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) b) c) |
(*.f64 (*.f64 c c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (*.f64 c (*.f64 c #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) a) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 b (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64) b)) a) #s(literal -3 binary64)) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 c b)) c) |
(/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) (*.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (*.f64 c c)) b) |
(/.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) b) c) |
(*.f64 (*.f64 c c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (*.f64 c (*.f64 c #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) a) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 b (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64) b)) a) #s(literal -3 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
5 calls:
| 24.0ms | (/.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)) |
| 22.0ms | (*.f64 #s(literal 3 binary64) a) |
| 8.0ms | b |
| 8.0ms | c |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 2 | a |
| 66.9% | 2 | (*.f64 #s(literal 3 binary64) a) |
| 70.8% | 2 | c |
| 79.0% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 75.1% | 2 | b |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 c b)) c) |
(/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) (*.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (*.f64 c c)) b) |
(/.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) b) c) |
(*.f64 (*.f64 c c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (*.f64 c (*.f64 c #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) a) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 8.0ms | (/.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 |
|---|---|---|
| 78.9% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 c b)) c) |
(/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) (*.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (*.f64 c c)) b) |
(/.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) b) c) |
(*.f64 (*.f64 c c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (*.f64 c (*.f64 c #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) a) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 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 |
|---|---|---|
| 78.9% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 c b)) c) |
(/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) (*.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64)) |
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (*.f64 c c) (/.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (*.f64 c c)) b) |
(/.f64 (/.f64 (*.f64 c (*.f64 c #s(literal -1/2 binary64))) b) c) |
(*.f64 (*.f64 c c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 c (*.f64 a #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (*.f64 c (*.f64 c #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) a) #s(literal -3 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
5 calls:
| 9.0ms | c |
| 7.0ms | (/.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)) |
| 7.0ms | (*.f64 #s(literal 3 binary64) a) |
| 7.0ms | b |
| 6.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 1 | a |
| 64.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 64.1% | 1 | c |
| 64.1% | 1 | b |
| 64.1% | 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)) |
Compiled 38 to 26 computations (31.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
5 calls:
| 4.0ms | b |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 1.0ms | c |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 1 | c |
| 64.0% | 1 | b |
| 64.0% | 1 | a |
| 64.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 64.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 8.111596226235145 | 11.483514427978925 |
| 3.0ms | 40× | 0 | valid |
| 1.0ms | 8× | 1 | valid |
| 1.0ms | 9× | 0 | invalid |
Compiled 143 to 99 computations (30.8% saved)
ival-mult: 1.0ms (33.8% of total)adjust: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 8.111596226235145 | 11.483514427978925 |
| 19.0ms | 13× | 0 | invalid |
| 2.0ms | 34× | 0 | valid |
| 2.0ms | 14× | 1 | valid |
Compiled 143 to 99 computations (30.8% saved)
ival-neg: 18.0ms (84.9% of total)ival-mult: 1.0ms (4.7% of total)ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6018203296063785e-5 | -1.4863770780814718e-5 |
Compiled 23 to 18 computations (21.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6018203296063785e-5 | -1.4863770780814718e-5 |
Compiled 23 to 18 computations (21.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6018203296063785e-5 | -1.4863770780814718e-5 |
Compiled 23 to 18 computations (21.7% saved)
| 1× | egg-herbie |
| 48× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 22× | sub-neg_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 227 |
| 1 | 95 | 221 |
| 2 | 121 | 221 |
| 3 | 136 | 221 |
| 4 | 146 | 221 |
| 5 | 149 | 221 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 c a)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) |
(if (<=.f64 b #s(literal 17/2 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)) |
(if (<=.f64 b #s(literal 17/2 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -8854437155380585/590295810358705651712 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -8854437155380585/590295810358705651712 binary64)) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -8854437155380585/590295810358705651712 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 c a)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) |
(if (<=.f64 b #s(literal 17/2 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)) |
(if (<=.f64 b #s(literal 17/2 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 c #s(literal -1/2 binary64))) b)) |
(if (<=.f64 b #s(literal 17/2 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
(if (<=.f64 b #s(literal 17/2 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) (*.f64 c (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -8854437155380585/590295810358705651712 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal 3 binary64) a)))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -8854437155380585/590295810358705651712 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -8854437155380585/590295810358705651712 binary64)) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal 3 binary64) a)))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -8854437155380585/590295810358705651712 binary64)) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) #s(literal -1/3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -8854437155380585/590295810358705651712 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal 3 binary64) a)))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -8854437155380585/590295810358705651712 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
| 10 788× | accelerator-lowering-fma.f32 |
| 10 788× | accelerator-lowering-fma.f64 |
| 7 910× | *-lowering-*.f32 |
| 7 910× | *-lowering-*.f64 |
| 7 770× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3562 |
| 1 | 1767 | 3539 |
| 2 | 6215 | 3496 |
| 0 | 8264 | 3326 |
| 0 | 63 | 349 |
| 1 | 374 | 349 |
| 2 | 3631 | 349 |
| 0 | 9643 | 333 |
| 0 | 12 | 54 |
| 1 | 63 | 52 |
| 2 | 517 | 52 |
| 3 | 6808 | 52 |
| 0 | 8097 | 48 |
| 0 | 1502 | 13185 |
| 1 | 4905 | 12812 |
| 0 | 9007 | 12344 |
| 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 |
Compiled 366 to 166 computations (54.6% saved)
Compiled 488 to 150 computations (69.3% saved)
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