
Time bar (total: 15.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 1.4s | 6 688× | 1 | valid |
| 224.0ms | 1 568× | 0 | valid |
| 160.0ms | 1 140× | 0 | invalid |
ival-mult: 280.0ms (19.7% of total)const: 226.0ms (15.9% of total)ival-<: 176.0ms (12.4% of total)ival-sqrt: 173.0ms (12.2% of total)adjust: 140.0ms (9.8% of total)ival-div: 134.0ms (9.4% of total)ival-add: 90.0ms (6.3% of total)ival-neg: 82.0ms (5.8% of total)ival-sub: 74.0ms (5.2% of total)ival-and: 34.0ms (2.4% of total)exact: 10.0ms (0.7% of total)ival-assert: 4.0ms (0.3% 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 |
|---|---|---|---|---|---|
| 246 | 1 | (7.928607050396528e-11 3.653878557755439 592790698.583614) | 0 | - | (+.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 | 247 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 246 | 1 |
| - | 1 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 246 | 1 | 0 |
| - | 1 | 1 | 7 |
| number | freq |
|---|---|
| 0 | 9 |
| 1 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 79.0ms | 404× | 1 | valid |
| 11.0ms | 108× | 0 | valid |
Compiled 176 to 52 computations (70.5% saved)
ival-mult: 15.0ms (24.4% of total)ival-sqrt: 9.0ms (14.7% of total)ival-add: 8.0ms (13% of total)ival-neg: 8.0ms (13% of total)adjust: 7.0ms (11.4% of total)ival-div: 6.0ms (9.8% of total)ival-sub: 6.0ms (9.8% of total)ival-true: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 19.7% | (/.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 | 99.8% | (-.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 | 19.7% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 33.0ms | 202× | 1 | valid |
| 5.0ms | 54× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 8.0ms (33.1% of total)ival-div: 3.0ms (12.4% of total)adjust: 3.0ms (12.4% of total)ival-sqrt: 3.0ms (12.4% of total)ival-add: 2.0ms (8.3% of total)ival-sub: 2.0ms (8.3% of total)ival-neg: 2.0ms (8.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 | c | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 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× | 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)
28 alts after pruning (28 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 558 | 28 | 586 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 559 | 28 | 587 |
| Status | Accuracy | Program |
|---|---|---|
| 94.4% | (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)) | |
| ▶ | 97.2% | (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)) |
| 94.4% | (/.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) | |
| 96.2% | (/.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) | |
| 97.2% | (/.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 #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) | |
| 95.6% | (/.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)) | |
| 93.8% | (/.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)) | |
| 19.4% | (/.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)))))) (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)) | |
| 19.2% | (/.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)) | |
| 19.9% | (/.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)) | |
| 19.7% | (/.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)) | |
| 88.5% | (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 19.9% | (/.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)) |
| 19.7% | (/.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)) | |
| 13.6% | (/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 19.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (fma.f64 b b #s(literal 0 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.7% | (/.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)) | |
| 19.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 19.7% | (/.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)) |
| ▶ | 89.0% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
| 96.5% | (/.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)) | |
| 93.8% | (/.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)) | |
| 19.7% | (/.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))))))) | |
| 19.3% | (-.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))) | |
| 19.7% | (*.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)))))) | |
| 96.8% | (*.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))) | |
| 95.9% | (*.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))) | |
| ▶ | 94.1% | (*.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 1 834 to 1 004 computations (45.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal -3 binary64) c) |
| ✓ | cost-diff | 0 | (/.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)))))) |
| ✓ | cost-diff | 0 | (-.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))))))) |
| ✓ | cost-diff | 0 | (/.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)) |
| ✓ | 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 | 320 | (*.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)) |
| ✓ | cost-diff | 320 | (/.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)) |
| ✓ | cost-diff | 0 | (/.f64 c (*.f64 b (*.f64 b b))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)) |
| ✓ | cost-diff | 384 | (*.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))) |
| ✓ | cost-diff | 0 | (*.f64 c #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
| ✓ | cost-diff | 0 | (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) |
| 8 594× | accelerator-lowering-fma.f32 |
| 8 594× | accelerator-lowering-fma.f64 |
| 4 530× | *-lowering-*.f32 |
| 4 530× | *-lowering-*.f64 |
| 2 320× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 524 |
| 1 | 150 | 520 |
| 2 | 423 | 510 |
| 3 | 1240 | 502 |
| 4 | 3110 | 502 |
| 5 | 4766 | 500 |
| 6 | 6731 | 500 |
| 0 | 8225 | 475 |
| 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 |
(* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) |
c |
(+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) |
a |
(* (/ c (* b (* b b))) -3/8) |
(/ c (* b (* b b))) |
(* b (* b b)) |
b |
(* b b) |
-3/8 |
(/ -1/2 b) |
-1/2 |
(/ (* (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) (/ 1 a)) -3) |
(* (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) (/ 1 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 |
(/ 1 a) |
1 |
(/ (- (/ (+ (* a (* -3 c)) (+ (* b b) 0)) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) (/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))))) (* 3 a)) |
(- (/ (+ (* a (* -3 c)) (+ (* b b) 0)) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) (/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))))) |
(/ (+ (* 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) |
b |
0 |
(+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) |
(sqrt (+ (* a (* -3 c)) (+ (* b b) 0))) |
(/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) |
(* 3 a) |
3 |
| 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 c (fma.f64 a (*.f64 c (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 c (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) b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)))) (pow.f64 b #s(literal 7 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 (*.f64 a #s(literal -9/16 binary64)) (/.f64 c (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 a (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 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 (pow.f64 c #s(literal 4 binary64))) (/.f64 #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 (*.f64 c #s(literal -1/2 binary64)) b) |
(* c -1/2) |
(*.f64 c #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(/ (* c -1/2) b) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(* c -1/2) |
(*.f64 c #s(literal -1/2 binary64)) |
c |
-1/2 |
#s(literal -1/2 binary64) |
b |
(* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) |
(/.f64 (*.f64 c (fma.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 a c) #s(literal -1/2 binary64))) b) |
c |
(+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) |
(fma.f64 a (/.f64 (*.f64 c #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) b)) |
a |
(* (/ c (* b (* b b))) -3/8) |
(/.f64 (*.f64 c #s(literal -3/8 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ c (* b (* b b))) |
(/.f64 c (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* 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)) |
-3/8 |
#s(literal -3/8 binary64) |
(/ -1/2 b) |
(/.f64 #s(literal -1/2 binary64) b) |
-1/2 |
#s(literal -1/2 binary64) |
(/ (* (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) (/ 1 a)) -3) |
(fma.f64 (-.f64 (sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a) #s(literal 0 binary64)) |
(* (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) (/ 1 a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))) a) |
(- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) |
(-.f64 b (sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))) |
b |
(sqrt (+ (* a (* -3 c)) (+ (* b b) 0))) |
(sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) |
(+ (* a (* -3 c)) (+ (* b b) 0)) |
(fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 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) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
(/ (- (/ (+ (* a (* -3 c)) (+ (* b b) 0)) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) (/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))))) (* 3 a)) |
(/.f64 (fma.f64 b (/.f64 b (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64))) |
(- (/ (+ (* a (* -3 c)) (+ (* b b) 0)) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) (/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))))) |
(fma.f64 b (/.f64 b (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) |
(/ (+ (* a (* -3 c)) (+ (* b b) 0)) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) |
(/.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
(+ (* a (* -3 c)) (+ (* b b) 0)) |
(fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 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)) |
b |
0 |
#s(literal 0 binary64) |
(+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) |
(+.f64 b (sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))))) |
(sqrt (+ (* a (* -3 c)) (+ (* b b) 0))) |
(sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) |
(/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) |
(/.f64 (fma.f64 b b #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (fma.f64 a #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
(* 3 a) |
(fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64)) |
3 |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.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)))))) |
| ✓ | accuracy | 99.8% | (/.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)))))) |
| ✓ | accuracy | 99.4% | (/.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)) |
| ✓ | accuracy | 20.1% | (-.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))))))) |
| ✓ | accuracy | 99.8% | (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))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
| ✓ | accuracy | 99.5% | (*.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)) |
| ✓ | accuracy | 19.7% | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | accuracy | 99.6% | (/.f64 c (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.5% | (*.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))) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 b (*.f64 b b)) |
| ✓ | 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 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal -1/6 binary64) a) |
| ✓ | accuracy | 99.4% | (*.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 | 99.3% | (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
| 171.0ms | 200× | 1 | valid |
| 24.0ms | 54× | 0 | valid |
| 2.0ms | 2× | 2 | valid |
Compiled 551 to 61 computations (88.9% saved)
ival-mult: 40.0ms (27.1% of total)ival-div: 34.0ms (23% of total)ival-add: 33.0ms (22.3% of total)adjust: 15.0ms (10.1% of total)ival-pow: 12.0ms (8.1% of total)ival-sqrt: 4.0ms (2.7% of total)ival-sub: 4.0ms (2.7% of total)const: 4.0ms (2.7% 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 (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)))> |
#<alt (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))> |
#<alt (* (/ c (* b (* b b))) -3/8)> |
#<alt (/ c (* b (* b b)))> |
#<alt (/ (* (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) (/ 1 a)) -3)> |
#<alt (* (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) (/ 1 a))> |
#<alt (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))> |
#<alt (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))> |
#<alt (/ (- (/ (+ (* a (* -3 c)) (+ (* b b) 0)) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) (/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))))) (* 3 a))> |
#<alt (- (/ (+ (* a (* -3 c)) (+ (* b b) 0)) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) (/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))))> |
#<alt (/ (+ (* a (* -3 c)) (+ (* b b) 0)) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))))> |
#<alt (* -3 c)> |
#<alt (/ (* c (* c c)) (pow b 5))> |
#<alt (* -1/6 a)> |
#<alt (/ (* (pow c 4) 405/64) (pow b 6))> |
#<alt (* b (* b b))> |
#<alt (+ (* a (* -3 c)) (+ (* b b) 0))> |
#<alt (/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))))> |
| 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 (* -1/2 (/ 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)))> |
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))> |
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))> |
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))> |
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))> |
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))> |
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))> |
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))> |
#<alt (* -1/2 (/ c b))> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -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)) b))> |
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))> |
#<alt (/ -1/2 b)> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (* -3/8 (/ (* a c) (pow b 3)))> |
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))> |
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))> |
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))> |
#<alt (* -3/8 (/ (* a c) (pow b 3)))> |
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))> |
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))> |
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))> |
#<alt (/ -1/2 b)> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))> |
#<alt (* -3/8 (/ (* a c) (pow b 3)))> |
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))> |
#<alt (* -3/8 (/ (* a c) (pow b 3)))> |
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))> |
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))> |
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))> |
#<alt (* -3/8 (/ (* a c) (pow b 3)))> |
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))> |
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))> |
#<alt (/ -1/2 b)> |
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)> |
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)> |
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)> |
#<alt (/ -1/2 b)> |
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (* -3/8 (/ c (pow b 3)))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<alt (/ c (pow b 3))> |
#<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)))))))> |
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#<alt (* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))> |
#<alt (* -1 (/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c))> |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | b | @ | -inf | (/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) |
| 8.0ms | a | @ | 0 | (/ (* (* -1/6 a) (/ (* (pow c 4) 405/64) (pow b 6))) b) |
| 8.0ms | c | @ | 0 | (* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) |
| 7.0ms | a | @ | inf | (/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) |
| 6.0ms | c | @ | inf | (/ (* (pow c 4) 405/64) (pow b 6)) |
| 1× | batch-egg-rewrite |
| 4 428× | *-lowering-*.f32 |
| 4 428× | *-lowering-*.f64 |
| 4 002× | /-lowering-/.f32 |
| 4 002× | /-lowering-/.f64 |
| 3 352× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 338 |
| 1 | 363 | 338 |
| 2 | 3614 | 334 |
| 0 | 8477 | 315 |
| 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) |
(* c (+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b))) |
(+ (* a (* (/ c (* b (* b b))) -3/8)) (/ -1/2 b)) |
(* (/ c (* b (* b b))) -3/8) |
(/ c (* b (* b b))) |
(/ (* (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) (/ 1 a)) -3) |
(* (- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) (/ 1 a)) |
(- b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))) |
(sqrt (+ (* a (* -3 c)) (+ (* b b) 0))) |
(/ (- (/ (+ (* a (* -3 c)) (+ (* b b) 0)) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) (/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))))) (* 3 a)) |
(- (/ (+ (* a (* -3 c)) (+ (* b b) 0)) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) (/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0)))))) |
(/ (+ (* a (* -3 c)) (+ (* b b) 0)) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) |
(* -3 c) |
(/ (* c (* c c)) (pow b 5)) |
(* -1/6 a) |
(/ (* (pow c 4) 405/64) (pow b 6)) |
(* b (* b b)) |
(+ (* a (* -3 c)) (+ (* b b) 0)) |
(/ (+ (* b b) 0) (+ b (sqrt (+ (* a (* -3 c)) (+ (* b b) 0))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) b))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)))) b)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) |
(/.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 b (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)) b)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) b)) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))) |
(pow.f64 (*.f64 (/.f64 b (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 b (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) a) b)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 b (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) |
(*.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)))) (*.f64 #s(literal -1/6 binary64) a)) |
(*.f64 (pow.f64 (/.f64 b (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)))) |
(+.f64 (*.f64 a (fma.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b)))) (/.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 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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))))) |
(+.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b)) (fma.f64 a (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 405/64 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 b (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) 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)))))) |
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(*.f64 (*.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)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 a (*.f64 (*.f64 c #s(literal -3 binary64)) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.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)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b b #s(literal 0 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (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)))))) (/.f64 #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))))))) |
(-.f64 (/.f64 (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)))))) (/.f64 (/.f64 #s(literal 0 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))))))) |
(-.f64 (/.f64 (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)))))) (/.f64 #s(literal 0 binary64) (*.f64 (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)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #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))))))) (/.f64 (-.f64 #s(literal 0 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))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 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))))))) |
(/.f64 (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (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)))) |
(/.f64 (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)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b b #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b b #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (-.f64 #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))))))) |
(/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (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))))))) |
(/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) #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)))))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #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))))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (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))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))) (neg.f64 (-.f64 #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)))))))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) 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))))))) (fma.f64 (fma.f64 b b #s(literal 0 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)) (fma.f64 b b #s(literal 0 binary64)) #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))))))) (fma.f64 b b #s(literal 0 binary64))) |
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b b #s(literal 0 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 b (*.f64 b (/.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)))))))) |
(*.f64 b (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) |
(*.f64 (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))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (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))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #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)))))))) |
(*.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)))))) (fma.f64 b b #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.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 b (fma.f64 b b #s(literal 0 binary64))))) (-.f64 (fma.f64 b b (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))))))) |
(*.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (-.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)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (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 -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))) |
| 1× | egg-herbie |
| 7 572× | *-lowering-*.f32 |
| 7 572× | *-lowering-*.f64 |
| 6 264× | accelerator-lowering-fma.f32 |
| 6 264× | accelerator-lowering-fma.f64 |
| 3 458× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1929 | 15348 |
| 1 | 6463 | 14939 |
| 0 | 8123 | 14467 |
| 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) |
(* -1/2 (/ 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)) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(* -3/8 (/ c (pow b 3))) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 3)) |
(/ c (pow b 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)) |
(+ (* -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)))))))) |
(* -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)) |
(* -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 (* (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)))))))))) |
(* -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))) (* 3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 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)))) (+ (* 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)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -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))))) |
(+ (* -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))))) |
(* -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))) (* 3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))))))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4))))) (pow c 3))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* 3 (/ (* b c) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt 3) 4))))) c))) c)) (* 3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* 3 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -3 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (* 3 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(* -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))) (* 3 (/ (+ (* -27/32 (* (pow a 4) (pow c 4))) (* -27/128 (* (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))) (* 3 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2)))) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2))))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a c))) (* 9/16 (* (pow a 3) (pow c 3))))) (pow b 6))) (* 3 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2)))) (pow b 4)))))))) |
(* 1/2 b) |
(+ (* 1/2 b) (* a (- (* -3/2 (/ c b)) (* -3/8 (/ c b))))) |
(+ (* 1/2 b) (* a (- (+ (* -3/2 (/ c b)) (* -1 (* a (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))))) (* -3/8 (/ c b))))) |
(+ (* 1/2 b) (* a (- (+ (* -3/2 (/ c b)) (* a (- (* -1 (* a (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2))))))) (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))))) (* -3/8 (/ c b))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))))) (* c (pow (sqrt -3) 2))))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2))))) (* c (pow (sqrt 3) 2))))) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* 1/2 b) |
(+ (* 1/2 b) (* c (- (* -3/2 (/ a b)) (* -3/8 (/ a b))))) |
(+ (* 1/2 b) (* c (- (+ (* -3/2 (/ a b)) (* -1 (* c (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))))) (* -3/8 (/ a b))))) |
(+ (* 1/2 b) (* c (- (+ (* -3/2 (/ a b)) (* c (- (* -1 (* c (+ (* -9/16 (/ (* (pow a 2) (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 4))) (+ (* -27/64 (/ (pow a 3) (pow b 5))) (* 3/4 (/ (* a (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))) (pow b 2))))))) (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))))) (* -3/8 (/ a b))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2)))))) (* a (pow (sqrt -3) 2))))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* 3/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2))))) (* a (pow (sqrt 3) 2))))) (+ (* 3/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (+ (* -1 (* b (+ (* 3/2 (/ 1 (* a (* c (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))))) (sqrt -3)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(* 1/2 b) |
(* b (- (+ 1/2 (* -3/2 (/ (* a c) (pow b 2)))) (* -3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1 (/ (+ (* -3/4 (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (* -9/32 (* (pow a 2) (pow c 2)))) (pow b 4))))) (* -3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (+ (* -27/64 (* (pow a 3) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (* -9/32 (* (pow a 2) (pow c 2))))))))) (pow b 6))))) (+ (* -3/4 (/ (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c))))) (pow b 4))) (+ (* -3/8 (/ (* a c) (pow b 2))) (* -9/32 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2/3 (/ (pow b 3) (* a c))) |
(* -1 (* (pow b 3) (- (* 5/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 15/8 (* a c))) (pow b 4))) (* 5/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 15/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 45/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 5/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 15/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(/ (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)) |
(* -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) |
(* 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))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 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))))) |
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))) |
(* (pow b 2) (+ (* -1 (/ b (* a (* c (pow (sqrt -3) 2))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) |
(* (pow b 2) (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) |
(* (pow b 2) (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) |
(* 1/2 b) |
(* b (+ 1/2 (* 3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))))) |
(* 2/3 (/ (pow b 3) (* a c))) |
(* -1 (* (pow b 3) (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))) |
(* 1/2 b) |
(+ (* 3/8 (/ (* a c) b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (- (* 9/16 (/ (* a (pow c 2)) (pow b 3))) (* -3/8 (/ c b))))) |
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* -9/16 (/ (pow c 2) (pow b 3))))) (* -3/8 (/ c b))))) |
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))) |
(/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))))) a) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(* -1 (/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt 3) 2)))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* a (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) |
(* 1/2 b) |
(+ (* 3/8 (/ (* a c) b)) (* 1/2 b)) |
(+ (* 1/2 b) (* c (- (* 9/16 (/ (* (pow a 2) c) (pow b 3))) (* -3/8 (/ a b))))) |
(+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -27/32 (/ (pow a 3) (pow b 5))) (* -27/128 (/ (pow a 3) (pow b 5)))))) (* -9/16 (/ (pow a 2) (pow b 3))))) (* -3/8 (/ a b))))) |
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))) |
(/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt -3) 2)))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))))) c) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(* -1 (/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
| Outputs |
|---|
(* -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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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)) (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))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 a (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 a (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (pow.f64 b #s(literal 5 binary64)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(*.f64 (*.f64 a a) (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 -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(*.f64 (*.f64 a a) (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 -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (pow.f64 b #s(literal 5 binary64)))))) |
(* (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)))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (*.f64 a (*.f64 b (*.f64 b b))))) 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)))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal 3/8 binary64)) (*.f64 a (*.f64 b (*.f64 b b))))) a))) |
(* -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 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (*.f64 b (*.f64 b b))))) |
(* (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))))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 b (*.f64 b b)))))) |
(* (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))))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 b (*.f64 b b)))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 c (pow.f64 b #s(literal 5 binary64)))))) |
(* (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))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 c (pow.f64 b #s(literal 5 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 c c) (*.f64 b (*.f64 b 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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(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (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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(* -1/2 (/ c b)) |
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(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(*.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 a c)))) |
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(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* b (- (+ 1/2 (* -3/2 (/ (* a c) (pow b 2)))) (* -3/8 (/ (* a c) (pow b 2))))) |
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(* 2/3 (/ (pow b 3) (* a c))) |
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b (*.f64 b b))) (*.f64 a c)) |
(* -1 (* (pow b 3) (- (* 5/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
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(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 15/8 (* a c))) (pow b 4))) (* 5/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b b)) (-.f64 (-.f64 (/.f64 #s(literal 5/2 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 9/8 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 15/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 45/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 5/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 15/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))) |
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(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
(* -3 c) |
(*.f64 c #s(literal -3 binary64)) |
(* -3 c) |
(*.f64 c #s(literal -3 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)) |
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(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
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(/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) |
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(/ (pow c 3) (pow b 5)) |
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(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 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))))) #s(literal -1/2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) c)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))))) a) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 a a))) (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 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))))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c #s(literal -3 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) a) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -1 (/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt 3) 2)))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c))))) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 b b))) c)))) a)) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* a (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64))) a)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 b b))) c))) a)) a)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(+ (* 3/8 (/ (* a c) b)) (* 1/2 b)) |
(fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 a c) b) (*.f64 b #s(literal 1/2 binary64))) |
(+ (* 1/2 b) (* c (- (* 9/16 (/ (* (pow a 2) c) (pow b 3))) (* -3/8 (/ a b))))) |
(fma.f64 c (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 3/8 binary64) (/.f64 a b))) (*.f64 b #s(literal 1/2 binary64))) |
(+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -27/32 (/ (pow a 3) (pow b 5))) (* -27/128 (/ (pow a 3) (pow b 5)))))) (* -9/16 (/ (pow a 2) (pow b 3))))) (* -3/8 (/ a b))))) |
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) #s(literal -135/128 binary64)) (*.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3/8 binary64) (/.f64 a b))) (*.f64 b #s(literal 1/2 binary64))) |
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) |
(/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt -3) 2)))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) c) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) a))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))) c) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64)) (*.f64 c c)) (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) a)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))))) c) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 c (*.f64 c c)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))))) c) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -1 (/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b b))) a)))) c)) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64))) c)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b b))) a))) c)) c)) |
Compiled 96 823 to 5 926 computations (93.9% saved)
59 alts after pruning (58 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 957 | 45 | 2 002 |
| Fresh | 10 | 13 | 23 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 971 | 59 | 2 030 |
| Status | Accuracy | Program |
|---|---|---|
| 21.6% | (fma.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (/.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)))))) (*.f64 a #s(literal 3 binary64))) (neg.f64 (/.f64 (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))))))))) | |
| ▶ | 97.2% | (fma.f64 (fma.f64 a (fma.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (/.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)) |
| 96.8% | (fma.f64 (fma.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (*.f64 a a) (*.f64 c (fma.f64 a (/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| ▶ | 22.2% | (fma.f64 (/.f64 (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)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (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))))))))) |
| 21.2% | (fma.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 3 binary64)) (/.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)))))) a) (neg.f64 (/.f64 (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))))))))) | |
| ▶ | 94.4% | (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)) |
| 96.2% | (fma.f64 a (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| 21.5% | (/.f64 (fma.f64 (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)))))) (/.f64 (-.f64 #s(literal 0 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))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 21.2% | (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (neg.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))))))) (/.f64 (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))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 21.0% | (/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (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))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (-.f64 #s(literal 0 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))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 93.9% | (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) | |
| 21.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) | |
| 21.6% | (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 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))))))) | |
| 94.4% | (/.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) | |
| 94.0% | (/.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))) | |
| 96.2% | (/.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) | |
| 96.1% | (/.f64 (fma.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (fma.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 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (pow.f64 b #s(literal 7 binary64))) | |
| 95.6% | (/.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)) | |
| 93.8% | (/.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)) | |
| 20.2% | (/.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)) | |
| 19.2% | (/.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)) | |
| 19.9% | (/.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)) | |
| 19.9% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (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))))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 20.2% | (/.f64 (/.f64 (-.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)))))) (*.f64 (/.f64 (+.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)))) (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))))) (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))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 88.5% | (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 88.6% | (/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) | |
| 19.9% | (/.f64 (-.f64 (pow.f64 (/.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)) (+.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)) (pow.f64 (/.f64 (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))))))) #s(literal 3 binary64))) (fma.f64 (/.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)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (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))) (*.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))))))) (fma.f64 (/.f64 (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 (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 (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 (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))))))))))) | |
| 19.9% | (/.f64 (-.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 c #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)))))) (/.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)) | |
| 19.7% | (/.f64 (-.f64 (/.f64 (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))))))) (/.f64 (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)) | |
| 20.6% | (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (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)))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (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)))))) (*.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)))))) (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 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))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (+.f64 b (sqrt.f64 (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))))))))) (/.f64 (/.f64 (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 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 b (sqrt.f64 (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)))))))) (fma.f64 (/.f64 (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)))))) (*.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)))))) (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 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))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (+.f64 b (sqrt.f64 (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)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.3% | (/.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)) | |
| 20.2% | (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #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)))))))) | |
| 20.0% | (/.f64 (-.f64 (*.f64 (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)))))) (*.f64 (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))))))) (*.f64 (*.f64 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 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) | |
| 19.7% | (/.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)) | |
| 19.4% | (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) | |
| 19.7% | (/.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)) | |
| 17.4% | (/.f64 (*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))) (-.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)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 21.6% | (/.f64 (*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 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)))))) #s(literal 1/3 binary64)) a) | |
| 20.2% | (/.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 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)))))) | |
| 20.2% | (/.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 (+.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))) | |
| 19.7% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) | |
| ▶ | 93.8% | (/.f64 (*.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
| ✓ | 89.0% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
| 88.7% | (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) | |
| 21.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 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))))))) | |
| 19.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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)))))) a)) | |
| 19.7% | (/.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))))))) | |
| 19.9% | (-.f64 (/.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)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (/.f64 (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)))))))) | |
| 20.6% | (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (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)))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (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)))))) (*.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)))))) (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 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))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (+.f64 b (sqrt.f64 (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))))))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 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 b (sqrt.f64 (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)))))))) (fma.f64 (/.f64 (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)))))) (*.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)))))) (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 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))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (+.f64 b (sqrt.f64 (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))))))))) (*.f64 a #s(literal 3 binary64)))) | |
| 19.2% | (-.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.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))) | |
| 19.3% | (-.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))) | |
| 96.8% | (+.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.f64 (fma.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (*.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))))) | |
| 19.7% | (*.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)) | |
| 19.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.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)))))) | |
| 19.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.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))) | |
| 19.7% | (*.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)))))) | |
| ▶ | 88.7% | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| 93.9% | (*.f64 c (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))) (*.f64 b (*.f64 b b)))) | |
| 94.1% | (*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) b)) |
Compiled 5 700 to 2 046 computations (64.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (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)))))) |
| ✓ | cost-diff | 64 | (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 (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)))))))) |
| ✓ | cost-diff | 640 | (fma.f64 (/.f64 (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)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (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))))))))) |
| ✓ | cost-diff | 0 | (*.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
| ✓ | cost-diff | 704 | (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) |
| ✓ | cost-diff | 1344 | (*.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b))) (/.f64 #s(literal 1 binary64) a)) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 c c)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) |
| ✓ | cost-diff | 704 | (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)) |
| ✓ | 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 | (fma.f64 a (fma.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) |
| ✓ | cost-diff | 384 | (fma.f64 (fma.f64 a (fma.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (/.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 | 640 | (fma.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) |
| 10 646× | accelerator-lowering-fma.f32 |
| 10 646× | accelerator-lowering-fma.f64 |
| 5 700× | *-lowering-*.f32 |
| 5 700× | *-lowering-*.f64 |
| 2 574× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 685 |
| 1 | 226 | 631 |
| 2 | 745 | 578 |
| 3 | 3433 | 544 |
| 4 | 4128 | 530 |
| 5 | 5442 | 528 |
| 6 | 7221 | 528 |
| 0 | 8165 | 506 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* a (+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b)) |
(+ (* a (+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) |
a |
(+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b))) |
(* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0)))) |
-1/6 |
(/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 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) 0)) 0) b)) 0)) |
b |
(+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0) |
(* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b) |
(+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) |
(+ (* b b) 0) |
0 |
(/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) |
(* (* c (* c c)) -9/16) |
-9/16 |
(/ (* (* c c) -3/8) (* b (+ (* b b) 0))) |
(* (* c c) -3/8) |
-3/8 |
(* b (+ (* b b) 0)) |
(/ (* c -1/2) b) |
(* c -1/2) |
-1/2 |
(* (/ -1/2 b) c) |
(/ -1/2 b) |
-1/2 |
b |
c |
(+ (* (/ (* a (* c c)) (* b (* b b))) -3/8) (/ (* c -1/2) b)) |
(/ (* a (* c c)) (* b (* b b))) |
(* a (* c c)) |
a |
(* c c) |
c |
(* b (* b b)) |
b |
(* b b) |
-3/8 |
(/ (* c -1/2) b) |
(* c -1/2) |
-1/2 |
(/ (* (* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) (/ 1 a)) -3) |
(* (* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) (/ 1 a)) |
(* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) |
a |
(+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b)) |
(/ (* a (* c c)) (* b (* b b))) |
(* a (* c c)) |
(* c c) |
c |
(* b (* b b)) |
b |
(* b b) |
9/8 |
(/ (* c 3/2) b) |
(* c 3/2) |
3/2 |
(/ 1 a) |
1 |
-3 |
(+ (* (/ (+ (* c (* a -3)) (+ (* b b) 0)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))) |
(/ (+ (* 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) |
b |
0 |
(+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) |
(sqrt (+ (* c (* a -3)) (+ (* b b) 0))) |
(/ 1/3 a) |
1/3 |
(neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))) |
(/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(* a 3) |
3 |
| Outputs |
|---|
(+ (* (+ (* a (+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b)) |
(fma.f64 (*.f64 (*.f64 c (*.f64 c c)) (fma.f64 (/.f64 (*.f64 c #s(literal 405/64 binary64)) (fma.f64 b (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #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 a #s(literal -1/6 binary64)) (/.f64 #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 a a) (*.f64 (/.f64 c b) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (fma.f64 b b #s(literal 0 binary64))) #s(literal -1/2 binary64)))) |
(+ (* a (+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) |
(fma.f64 a (*.f64 (*.f64 c (*.f64 c c)) (fma.f64 (/.f64 (*.f64 c #s(literal 405/64 binary64)) (fma.f64 b (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #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 a #s(literal -1/6 binary64)) (/.f64 #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 c) #s(literal -3/8 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) |
a |
(+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b))) |
(*.f64 (*.f64 c (*.f64 c c)) (fma.f64 (/.f64 (*.f64 c #s(literal 405/64 binary64)) (fma.f64 b (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #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 a #s(literal -1/6 binary64)) (/.f64 #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))))) |
(* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0)))) |
(/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)) (fma.f64 b (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #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))) |
-1/6 |
#s(literal -1/6 binary64) |
(/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))) |
(/.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 405/64 binary64))) (fma.f64 b (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #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))) |
(* (* c (* c (* c c))) 405/64) |
(*.f64 c (*.f64 (*.f64 c (*.f64 c 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) 0)) 0) b)) 0)) |
(fma.f64 b (fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #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)) |
b |
(+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0) |
(fma.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) 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)) |
(+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) |
(fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #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) 0)) 0) b)) |
(/.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))) |
(* (* c (* c c)) -9/16) |
(*.f64 c (*.f64 (*.f64 c c) #s(literal -9/16 binary64))) |
-9/16 |
#s(literal -9/16 binary64) |
(/ (* (* c c) -3/8) (* b (+ (* b b) 0))) |
(/.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) 0)) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #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) |
(* (/ -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 |
(+ (* (/ (* a (* c c)) (* b (* b b))) -3/8) (/ (* c -1/2) b)) |
(*.f64 (/.f64 c b) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (fma.f64 b b #s(literal 0 binary64))) #s(literal -1/2 binary64))) |
(/ (* a (* c c)) (* b (* b b))) |
(/.f64 (*.f64 a (*.f64 c c)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* a (* c c)) |
(*.f64 a (*.f64 c c)) |
a |
(* c c) |
(*.f64 c c) |
c |
(* 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)) |
-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) |
(/ (* (* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) (/ 1 a)) -3) |
(*.f64 (*.f64 (/.f64 c b) (fma.f64 #s(literal 9/8 binary64) (*.f64 a (/.f64 c (fma.f64 b b #s(literal 0 binary64)))) #s(literal 3/2 binary64))) #s(literal -1/3 binary64)) |
(* (* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) (/ 1 a)) |
(*.f64 (/.f64 c b) (fma.f64 #s(literal 9/8 binary64) (*.f64 a (/.f64 c (fma.f64 b b #s(literal 0 binary64)))) #s(literal 3/2 binary64))) |
(* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) |
(*.f64 a (*.f64 (/.f64 c b) (fma.f64 #s(literal 9/8 binary64) (*.f64 a (/.f64 c (fma.f64 b b #s(literal 0 binary64)))) #s(literal 3/2 binary64)))) |
a |
(+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b)) |
(*.f64 (/.f64 c b) (fma.f64 #s(literal 9/8 binary64) (*.f64 a (/.f64 c (fma.f64 b b #s(literal 0 binary64)))) #s(literal 3/2 binary64))) |
(/ (* a (* c c)) (* b (* b b))) |
(/.f64 (*.f64 a (*.f64 c c)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* a (* c c)) |
(*.f64 a (*.f64 c c)) |
(* c c) |
(*.f64 c c) |
c |
(* 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)) |
9/8 |
#s(literal 9/8 binary64) |
(/ (* c 3/2) b) |
(*.f64 c (/.f64 #s(literal 3/2 binary64) b)) |
(* c 3/2) |
(*.f64 c #s(literal 3/2 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
-3 |
#s(literal -3 binary64) |
(+ (* (/ (+ (* c (* a -3)) (+ (* b b) 0)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))) |
(fma.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (fma.f64 b b #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))))))) (/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #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)))))))) #s(literal 0 binary64)) |
(/ (+ (* c (* a -3)) (+ (* b b) 0)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(/.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)))))) |
(+ (* 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)) |
b |
0 |
#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)))) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
1/3 |
#s(literal 1/3 binary64) |
(neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))) |
(fma.f64 b (/.f64 b (fma.f64 a (fma.f64 #s(literal -3 binary64) (+.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))) #s(literal 0 binary64)) |
(/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(/.f64 (fma.f64 b b #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))))) (fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(fma.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)) #s(literal 0 binary64)) |
(* a 3) |
(fma.f64 a #s(literal 3 binary64) #s(literal 0 binary64)) |
3 |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.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)))))) |
| ✓ | accuracy | 99.4% | (/.f64 (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))))))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) a) |
| ✓ | accuracy | 21.6% | (fma.f64 (/.f64 (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)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (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))))))))) |
| ✓ | accuracy | 99.5% | (*.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b))) |
| ✓ | accuracy | 99.5% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b))) (/.f64 #s(literal 1 binary64) a)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.9% | (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)) |
| ✓ | accuracy | 99.6% | (*.f64 a (*.f64 c c)) |
| ✓ | accuracy | 99.5% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1/2 binary64) b) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) (*.f64 b (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) |
| ✓ | accuracy | 99.2% | (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
| 263.0ms | 206× | 1 | valid |
| 22.0ms | 50× | 0 | valid |
Compiled 777 to 72 computations (90.7% saved)
ival-mult: 106.0ms (50.8% of total)ival-div: 49.0ms (23.5% of total)ival-add: 21.0ms (10.1% of total)adjust: 15.0ms (7.2% of total)const: 11.0ms (5.3% of total)ival-sqrt: 4.0ms (1.9% of total)ival-neg: 2.0ms (1% 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 (+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))> |
#<alt (+ (* (+ (* a (+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b))> |
#<alt (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))> |
#<alt (+ (* a (+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0))))> |
#<alt (* (/ -1/2 b) c)> |
#<alt (/ -1/2 b)> |
#<alt (+ (* (/ (* a (* c c)) (* b (* b b))) -3/8) (/ (* c -1/2) b))> |
#<alt (/ (* a (* c c)) (* b (* b b)))> |
#<alt (* a (* c c))> |
#<alt (* c c)> |
#<alt (* (* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) (/ 1 a))> |
#<alt (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))> |
#<alt (/ (* (* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) (/ 1 a)) -3)> |
#<alt (* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b)))> |
#<alt (+ (* (/ (+ (* c (* a -3)) (+ (* b b) 0)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))))> |
#<alt (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))> |
#<alt (+ (* c (* a -3)) (+ (* b b) 0))> |
#<alt (/ (+ (* c (* a -3)) (+ (* b b) 0)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))> |
#<alt (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0)> |
#<alt (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b))> |
#<alt (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))> |
#<alt (* b (* b b))> |
#<alt (/ 1/3 a)> |
#<alt (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))> |
#<alt (* (* a 3) (+ 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 (* -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)))))))> |
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#<alt (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))> |
#<alt (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c)> |
#<alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c)> |
#<alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c)> |
#<alt (* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))> |
#<alt (* -1 (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))> |
#<alt (* 6 (* a b))> |
#<alt (* a (+ (* -9/2 (/ (* a c) b)) (* 6 b)))> |
#<alt (* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3)))))))> |
#<alt (* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3)))))))))> |
#<alt (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))> |
#<alt (* (pow a 2) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))> |
#<alt (* (pow a 2) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))))> |
#<alt (* (pow a 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))))> |
#<alt (* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a))))> |
#<alt (* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))> |
#<alt (* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))> |
#<alt (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))> |
#<alt (+ (* 3 (* a b)) (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))))> |
#<alt (+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) (* 3 a))))> |
#<alt (+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3 a) (* b (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))))))))> |
#<alt (* 6 (* a b))> |
#<alt (* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (* 6 a)))> |
#<alt (* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a))))> |
#<alt (* b (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a)))))> |
#<alt (* 9/2 (/ (* (pow a 2) c) b))> |
#<alt (* -1 (/ (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b))> |
#<alt (* 6 (* a b))> |
#<alt (+ (* -9/2 (/ (* (pow a 2) c) b)) (* 6 (* a b)))> |
#<alt (+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* -27/8 (/ (* (pow a 3) c) (pow b 3))))))> |
#<alt (+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 5))) (* -27/8 (/ (pow a 3) (pow b 3))))))))> |
#<alt (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))> |
#<alt (* c (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))> |
#<alt (* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))))> |
#<alt (* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))))> |
#<alt (* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* -3 (/ (* a b) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))> |
180 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | 0 | (* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) |
| 4.0ms | b | @ | -inf | (+ (* (/ (+ (* c (* a -3)) (+ (* b b) 0)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))) |
| 3.0ms | b | @ | inf | (+ (* (/ (+ (* c (* a -3)) (+ (* b b) 0)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))) |
| 3.0ms | c | @ | -inf | (+ (* (/ (+ (* c (* a -3)) (+ (* b b) 0)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))) |
| 3.0ms | c | @ | inf | (+ (* (/ (+ (* c (* a -3)) (+ (* b b) 0)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))) |
| 1× | batch-egg-rewrite |
| 4 956× | *-lowering-*.f32 |
| 4 956× | *-lowering-*.f64 |
| 3 474× | /-lowering-/.f32 |
| 3 474× | /-lowering-/.f64 |
| 3 318× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 454 |
| 1 | 449 | 391 |
| 2 | 4522 | 371 |
| 0 | 8681 | 352 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b))) |
(+ (* (+ (* a (+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b)) |
(* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0)))) |
(+ (* a (+ (* a (* -1/6 (/ (* (* c (* c (* c c))) 405/64) (* b (+ (* b (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) 0))))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) |
(* (/ -1/2 b) c) |
(/ -1/2 b) |
(+ (* (/ (* a (* c c)) (* b (* b b))) -3/8) (/ (* c -1/2) b)) |
(/ (* a (* c c)) (* b (* b b))) |
(* a (* c c)) |
(* c c) |
(* (* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) (/ 1 a)) |
(+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b)) |
(/ (* (* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) (/ 1 a)) -3) |
(* a (+ (* (/ (* a (* c c)) (* b (* b b))) 9/8) (/ (* c 3/2) b))) |
(+ (* (/ (+ (* c (* a -3)) (+ (* b b) 0)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))) |
(neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))) |
(+ (* c (* a -3)) (+ (* b b) 0)) |
(/ (+ (* c (* a -3)) (+ (* b b) 0)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) |
(/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) |
(/ (* (* c c) -3/8) (* b (+ (* b b) 0))) |
(* b (* b b)) |
(/ 1/3 a) |
(/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (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)) #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 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (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)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (*.f64 a (*.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (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)) #s(literal 0 binary64))) (/.f64 (*.f64 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (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)) #s(literal 0 binary64))))) (-.f64 (/.f64 (*.f64 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (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)) #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 (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 (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 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (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)) #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 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (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)) #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 (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 405/64 binary64))) (fma.f64 b (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)) #s(literal 0 binary64))) a) (/.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 c (*.f64 (*.f64 c c) (/.f64 #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 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (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)) #s(literal 0 binary64)))) |
(fma.f64 c (*.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (/.f64 #s(literal 1 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 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (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)) #s(literal 0 binary64)))) |
(fma.f64 c (/.f64 (*.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 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (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)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 c c) (*.f64 c (/.f64 #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 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (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)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 c (*.f64 c c)) (/.f64 #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 a (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 b (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)) #s(literal 0 binary64)))) |
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(/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) #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 a #s(literal 3 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)) (/.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 a #s(literal 3 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)) (/.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 a #s(literal 3 binary64))))) (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 a #s(literal 3 binary64))) |
(pow.f64 (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64))) (fma.f64 b b #s(literal 0 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64))) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal -1 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 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(*.f64 b (*.f64 b (/.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 a #s(literal 3 binary64)))))) |
(*.f64 b (/.f64 b (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64))))) |
(*.f64 (fma.f64 b b #s(literal 0 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 a #s(literal 3 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 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))))) (*.f64 a #s(literal 3 binary64)))) (fma.f64 b b #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a #s(literal 3 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 b a) (/.f64 b (*.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)))) |
(*.f64 (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (/.f64 b (*.f64 a #s(literal 3 binary64))) (/.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 b b #s(literal 0 binary64)) (*.f64 a #s(literal 3 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)))) (-.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))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a #s(literal 3 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 b (*.f64 a #s(literal 3 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64))) (*.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 a (*.f64 #s(literal 3 binary64) b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 a (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 b (*.f64 a #s(literal 3 binary64)) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64)) (*.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 a #s(literal 3 binary64)) b (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 b #s(literal 3 binary64)) a (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 3 binary64)) a (*.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 b a) #s(literal 3 binary64) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (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 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 b (*.f64 a #s(literal 3 binary64)))) (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64))))) (fma.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 b (*.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 b (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64))))) (-.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64))))) |
(/.f64 (*.f64 (*.f64 a #s(literal 3 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)))) (-.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))))))) |
(/.f64 (*.f64 (*.f64 a #s(literal 3 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 (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))) (*.f64 a #s(literal 3 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))))))) |
(/.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 a #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)))))) |
(*.f64 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 3 binary64))) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 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))))))) |
(*.f64 (*.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)) |
(*.f64 (*.f64 a #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)))))) |
(*.f64 (*.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)) a) |
| 1× | egg-herbie |
| 7 636× | *-lowering-*.f32 |
| 7 636× | *-lowering-*.f64 |
| 5 906× | accelerator-lowering-fma.f32 |
| 5 906× | accelerator-lowering-fma.f64 |
| 3 302× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1869 | 17435 |
| 1 | 6273 | 16909 |
| 0 | 8106 | 16331 |
| 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))) |
(* -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))) |
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(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
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(* -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)) |
(* a (+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(* a (+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(* a (+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* (pow a 2) (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* (pow a 2) (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* (pow a 2) (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* (pow a 2) (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* 3/2 (/ (* a c) b)) |
(* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) |
(* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) |
(* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) |
(* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))) |
(* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))) |
(* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(/ (+ (* 9/8 (* (pow a 2) (pow c 2))) (* 3/2 (* a (* (pow b 2) c)))) (pow b 3)) |
(/ (+ (* 9/8 (* (pow a 2) (pow c 2))) (* 3/2 (* a (* (pow b 2) c)))) (pow b 3)) |
(/ (+ (* 9/8 (* (pow a 2) (pow c 2))) (* 3/2 (* a (* (pow b 2) c)))) (pow b 3)) |
(* 3/2 (/ (* a c) b)) |
(/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b) |
(/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b) |
(/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b) |
(* 3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1/2 (/ c b)) |
(* c (- (* c (- (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (- (+ (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* c (- (* -1/3 (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (* -1/3 (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (- (+ (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* c (- (+ (* -1/3 (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (* c (- (* -1/3 (+ (* -1/8 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b))) (+ (* 9/16 (/ (* (pow a 2) (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 4))) (+ (* 3/4 (/ (* a (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (pow b 2))) (* 243/256 (/ (pow a 3) (pow b 7))))))) (* -1/3 (+ (* -81/128 (/ (pow a 3) (pow b 7))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b))) (* 3/4 (/ (* a (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5))))) (pow b 2))))))))) (* -1/3 (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 1/3 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))) c))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2)))))) (sqrt -3)))) (pow c 2))) (* 1/3 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))) c)))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2)))))) (sqrt -3)))) (pow c 2))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2)))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))))) (* a (pow (sqrt -3) 2))))) (pow c 3))) (* 1/3 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))) c))))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 3))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ (- (* 1/3 (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2)))))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/3 (+ (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (sqrt 3))))) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/3 (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (* a (pow (sqrt 3) 2)))))) (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) c)) (* -1/3 (+ (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (sqrt 3)))))) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(- (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* 1/8 (/ c b))) |
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b))) |
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (+ (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* a (- (* -1/3 (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* -1/3 (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b))) |
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (+ (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* a (- (+ (* -1/3 (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* a (- (* -1/3 (+ (* -27/32 (/ (* (pow c 3) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 6))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)) (+ (* 9/16 (/ (* (pow c 2) (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 4))) (* 3/4 (/ (* c (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (pow b 2))))))) (* -1/3 (+ (* -81/128 (/ (pow c 4) (pow b 7))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)) (* 3/4 (/ (* c (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5))))) (pow b 2))))))))) (* -1/3 (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) a) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a)))) (+ (* -1/3 (/ (pow b 3) (* a (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))))) a) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))))) (* c (pow (sqrt -3) 2))))) (pow a 3))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a))))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 3))) (+ (* -1/3 (/ (pow b 3) (* a (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))))) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* c (pow (sqrt 3) 2)))))) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* 1/3 (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) |
(* -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 (- (* 1/3 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (+ (* 1/3 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (* b (+ (* -1/3 (+ (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (sqrt -3))) (* 3/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2)))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(/ (- (* 1/3 (- (* -3/2 c) (* -3/8 c))) (* 1/8 c)) b) |
(/ (- (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (* 1/3 (- (* -3/2 c) (* -3/8 c)))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (- (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (+ (* -1/3 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))) (pow b 4))) (* 1/3 (- (* -3/2 c) (* -3/8 c))))) (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 4))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (- (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 3) (* (pow c 3) (- (* -3/2 c) (* -3/8 c))))) (+ (* -1/8 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a)) (+ (* 9/16 (* (pow a 2) (* (pow c 2) (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))) (* 3/4 (* a (* c (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))))))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (+ (* -1/3 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))) (pow b 4))) (* 1/3 (- (* -3/2 c) (* -3/8 c)))))) (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 4))) (+ (* -1/3 (/ (+ (* -81/128 (* (pow a 3) (pow c 4))) (+ (* -1/8 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a)) (* 3/4 (* a (* c (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3))))))))) (pow b 6))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (* 2/3 (/ 1 a))) (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2)))))) |
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2))))) (pow b 4))) (* 2/3 (/ 1 a)))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2))) (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 4))))))) |
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -9/8 (* (pow a 2) (* (pow c 2) (+ (* -3/4 c) (* 15/8 c))))) (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2)))))))) (+ (* -2/9 (/ (+ (* 3/2 (* a (* c (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))))) (* 243/64 (* (pow a 5) (pow c 5)))) (* (pow a 3) (pow c 2)))) (* 5/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c)))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2))))) (pow b 4))) (* 2/3 (/ 1 a))))) (+ (* -1/3 (/ (+ (* -9/8 (* (pow a 2) (* (pow c 2) (+ (* -3/4 c) (* 3/8 c))))) (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2)))))))) (+ (* -2/9 (/ (+ (* 3/2 (* a (* c (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))))) (* 243/64 (* (pow a 5) (pow c 5)))) (* (pow a 3) (pow c 2)))) (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c)))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2))) (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 4)))))))) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(* (pow b 2) (- (* 1/3 (/ b (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* (pow b 2) (- (* b (+ (* 1/3 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* (pow b 2) (- (* b (+ (* b (- (* -1/3 (* b (- (* 1/2 (/ 1 (* (pow a 3) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (* -1/3 (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* -1/6 (/ b a)) |
(* b (- (* -1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a)))) |
(* b (- (* -3/16 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a))))) |
(* b (- (* 1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 1/8 (/ c (pow b 2))) (+ (* 1/6 (/ 1 a)) (* 3/16 (/ (* a (pow c 2)) (pow b 4))))))) |
(* -2/9 (/ (pow b 3) (* (pow a 2) c))) |
(* -1 (* (pow b 3) (- (* 2/9 (/ 1 (* (pow a 2) c))) (* 1/6 (/ 1 (* a (pow b 2))))))) |
(* -1 (* (pow b 3) (- (+ (* 1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 4))) (* 2/9 (/ 1 (* (pow a 2) c)))) (/ 1/6 (* a (pow b 2)))))) |
(* -1 (* (pow b 3) (- (+ (* 1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 6))) (* 2/9 (/ 1 (* (pow a 2) c)))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 4))) (/ 1/6 (* a (pow b 2))))))) |
(* -1/6 (/ b a)) |
(/ (- (* -1/8 (/ (* a c) b)) (* 1/6 b)) a) |
(/ (- (* a (- (* -3/16 (/ (* a (pow c 2)) (pow b 3))) (* 1/8 (/ c b)))) (* 1/6 b)) a) |
(/ (- (* a (- (* a (- (* 1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3))))) (* 1/8 (/ c b)))) (* 1/6 b)) a) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (- (* 1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2)) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))))) (pow a 2)) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))))) (pow a 2)) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(/ (- (* -1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2)))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(/ (- (* -1 (/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(* -1/6 (/ b a)) |
(- (* -1/8 (/ c b)) (* 1/6 (/ b a))) |
(- (* c (- (* -3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b)))) (* 1/6 (/ b a))) |
(- (* c (- (* c (- (* 1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b)))) (* 1/6 (/ b a))) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (- (* 1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(* -1 (/ (- (* 1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c)) (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 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)))) |
(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))))) |
(* 1/2 b) |
(+ (* 1/2 b) (* c (- (* -3/2 (/ a b)) (* -3/8 (/ a b))))) |
(+ (* 1/2 b) (* c (- (+ (* -3/2 (/ a b)) (* -1 (* c (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))))) (* -3/8 (/ a b))))) |
(+ (* 1/2 b) (* c (- (+ (* -3/2 (/ a b)) (* c (- (* -1 (* c (+ (* -9/16 (/ (* (pow a 2) (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 4))) (+ (* -27/64 (/ (pow a 3) (pow b 5))) (* 3/4 (/ (* a (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))) (pow b 2))))))) (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))))) (* -3/8 (/ a b))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2)))))) (* a (pow (sqrt -3) 2))))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* 3/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2))))) (* a (pow (sqrt 3) 2))))) (+ (* 3/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* 1/2 b) |
(+ (* 1/2 b) (* a (- (* -3/2 (/ c b)) (* -3/8 (/ c b))))) |
(+ (* 1/2 b) (* a (- (+ (* -3/2 (/ c b)) (* -1 (* a (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))))) (* -3/8 (/ c b))))) |
(+ (* 1/2 b) (* a (- (+ (* -3/2 (/ c b)) (* a (- (* -1 (* a (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2))))))) (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))))) (* -3/8 (/ c b))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))))) (* c (pow (sqrt -3) 2))))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2))))) (* c (pow (sqrt 3) 2))))) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (+ (* -1 (* b (+ (* 3/2 (/ 1 (* a (* c (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))))) (sqrt -3)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(* 1/2 b) |
(* b (- (+ 1/2 (* -3/2 (/ (* a c) (pow b 2)))) (* -3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1 (/ (+ (* -3/4 (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (* -9/32 (* (pow a 2) (pow c 2)))) (pow b 4))))) (* -3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (+ (* -27/64 (* (pow a 3) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (* -9/32 (* (pow a 2) (pow c 2))))))))) (pow b 6))))) (+ (* -3/4 (/ (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c))))) (pow b 4))) (+ (* -3/8 (/ (* a c) (pow b 2))) (* -9/32 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2/3 (/ (pow b 3) (* a c))) |
(* -1 (* (pow b 3) (- (* 5/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 15/8 (* a c))) (pow b 4))) (* 5/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 15/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 45/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 5/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 15/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(* -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))) |
(* -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 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 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) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(* (pow b 2) (+ (* -1/3 (/ b (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* (pow b 2) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* b (- (* -1/3 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))))) |
(* (pow b 2) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* b (- (* b (+ (* -1/3 (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (* 1/3 (* b (- (* 1/2 (/ 1 (* (pow a 3) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))))) |
(* 1/6 (/ b a)) |
(* b (+ (* 1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a)))) |
(* b (- (+ (* 3/16 (/ (* a (pow c 2)) (pow b 4))) (* 1/6 (/ 1 a))) (* -1/8 (/ c (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -9/32 (* (pow a 2) (pow c 3))) (* -9/128 (* (pow a 2) (pow c 3)))) (pow b 6))) (* 1/6 (/ 1 a))) (+ (* -3/16 (/ (* a (pow c 2)) (pow b 4))) (* -1/8 (/ c (pow b 2)))))) |
(* 2/9 (/ (pow b 3) (* (pow a 2) c))) |
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1/4 c) (* 1/8 c)) (pow b 4))) (/ 1/6 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -1/4 c) (* 1/8 c))))) (+ (* -2/27 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 3/16 (* a (pow c 2))))) (pow b 6))) (/ 1/6 (* a (pow b 2)))) (+ (* -1/4 (/ c (pow b 4))) (+ (* 1/8 (/ c (pow b 4))) (* 2/9 (/ 1 (* (pow a 2) c)))))))) |
(* 1/6 (/ b a)) |
(/ (+ (* 1/8 (/ (* a c) b)) (* 1/6 b)) a) |
(/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* 3/16 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* a (+ (* -1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2)) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))))) (pow a 2)) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))))) (pow a 2)) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(/ (+ (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2))))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2)))) (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(* 1/6 (/ b a)) |
(+ (* 1/8 (/ c b)) (* 1/6 (/ b a))) |
(+ (* 1/6 (/ b a)) (* c (+ (* 3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b))))) |
(+ (* 1/6 (/ b a)) (* c (+ (* c (+ (* -1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(* -1 (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* 6 (* a b)) |
(* a (+ (* -9/2 (/ (* a c) b)) (* 6 b))) |
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3))))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (pow a 2) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))) |
(* (pow a 2) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))) |
(* (pow a 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* 3 (* a b)) (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))) |
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) (* 3 a)))) |
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3 a) (* b (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))))))) |
(* 6 (* a b)) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (* 6 a))) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a)))) |
(* b (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a))))) |
(* 9/2 (/ (* (pow a 2) c) b)) |
(* -1 (/ (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b)) |
(* 6 (* a b)) |
(+ (* -9/2 (/ (* (pow a 2) c) b)) (* 6 (* a b))) |
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* -27/8 (/ (* (pow a 3) c) (pow b 3)))))) |
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 5))) (* -27/8 (/ (pow a 3) (pow b 3)))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* c (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))) |
(* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -3 (/ (* a b) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
| 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)))))) |
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(pow b 2) |
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(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal -27/8 binary64) (*.f64 (/.f64 c b) #s(literal -9/2 binary64))) (*.f64 b #s(literal 6 binary64)))) |
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3))))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -81/16 binary64) (/.f64 (*.f64 #s(literal -27/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 c b) #s(literal -9/2 binary64))) (*.f64 b #s(literal 6 binary64)))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) |
(* (pow a 2) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)))) |
(* (pow a 2) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a))))) |
(* (pow a 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a)))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 3 binary64) b) a))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b #s(literal -3 binary64))) a))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 b #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) a))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) |
(+ (* 3 (* a b)) (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))) |
(*.f64 #s(literal 3 binary64) (fma.f64 b a (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))))) |
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) (* 3 a)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b (fma.f64 #s(literal 3/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a)))) |
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3 a) (* b (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) a))) (*.f64 b b)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 a c))))) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))))) |
(* 6 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 6 binary64)) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (* 6 a))) |
(*.f64 b (fma.f64 a #s(literal 6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/2 binary64)) (*.f64 b b)))) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a)))) |
(*.f64 b (fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (fma.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 a #s(literal 6 binary64))))) |
(* b (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a))))) |
(*.f64 b (fma.f64 #s(literal -81/16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (fma.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 a #s(literal 6 binary64)))))) |
(* 9/2 (/ (* (pow a 2) c) b)) |
(*.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 c (*.f64 a a)) b)) |
(* -1 (/ (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/2 binary64))) b)) |
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -81/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/2 binary64)))) b)) |
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -81/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 c (*.f64 a a)) #s(literal -9/2 binary64) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (*.f64 b b)))))) b)) |
(* 6 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 6 binary64)) |
(+ (* -9/2 (/ (* (pow a 2) c) b)) (* 6 (* a b))) |
(fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 c (*.f64 a a)) b) (*.f64 (*.f64 b a) #s(literal 6 binary64))) |
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* -27/8 (/ (* (pow a 3) c) (pow b 3)))))) |
(fma.f64 c (fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 a a) b) (/.f64 (*.f64 #s(literal -27/8 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b a) #s(literal 6 binary64))) |
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 5))) (* -27/8 (/ (pow a 3) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -81/16 binary64) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 a a) b))) (*.f64 (*.f64 b a) #s(literal 6 binary64))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) |
(* c (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))) |
(*.f64 c (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (/.f64 (*.f64 b a) c)))) |
(* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))) |
(*.f64 c (fma.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (/.f64 (*.f64 b a) c)) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64)))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))))) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (/.f64 (*.f64 b a) c)) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* -3 (/ (* a b) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 b a)) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 3 binary64) (*.f64 b a))) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b a)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 c a))))) c)) c)))) |
Compiled 99 885 to 5 422 computations (94.6% saved)
66 alts after pruning (62 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 855 | 18 | 1 873 |
| Fresh | 9 | 44 | 53 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 866 | 66 | 1 932 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.2% | (fma.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (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)) #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (/.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)) |
| 96.8% | (fma.f64 (fma.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (*.f64 a a) (*.f64 c (fma.f64 a (/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 22.1% | (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64))))) | |
| ▶ | 22.1% | (fma.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (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))))))))) |
| 22.2% | (fma.f64 (/.f64 (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)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (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))))) #s(literal 3 binary64)) a)))) | |
| 22.2% | (fma.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (+.f64 b (sqrt.f64 (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (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))))))))) | |
| 21.5% | (fma.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (*.f64 a #s(literal 3 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 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64))))) | |
| 96.2% | (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)) | |
| ✓ | 94.4% | (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)) |
| 96.8% | (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (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)) #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 c) #s(literal -3/8 binary64)) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))))) | |
| 22.0% | (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/3 binary64)) (/.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 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64))))) | |
| 22.0% | (fma.f64 b (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/3 binary64)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64)))))))) | |
| 22.2% | (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.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 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64))))) | |
| 21.5% | (/.f64 (fma.f64 (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)))))) (/.f64 (-.f64 #s(literal 0 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))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 21.2% | (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (neg.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))))))) (/.f64 (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))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 21.0% | (/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (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))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 (-.f64 #s(literal 0 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))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 93.9% | (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) | |
| 21.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) b (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) | |
| 94.1% | (/.f64 (fma.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) b (*.f64 (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 c #s(literal -1/2 binary64)))) (fma.f64 b (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) | |
| 21.6% | (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 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))))))) | |
| 94.4% | (/.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) | |
| 94.0% | (/.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))) | |
| 96.2% | (/.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) | |
| 96.1% | (/.f64 (fma.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (fma.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 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (pow.f64 b #s(literal 7 binary64))) | |
| 95.6% | (/.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)) | |
| 93.8% | (/.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)) | |
| 20.2% | (/.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)) | |
| 19.2% | (/.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)) | |
| 88.5% | (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 88.6% | (/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) | |
| 19.9% | (/.f64 (-.f64 (pow.f64 (/.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)) (+.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)) (pow.f64 (/.f64 (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))))))) #s(literal 3 binary64))) (fma.f64 (/.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)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (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))) (*.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))))))) (fma.f64 (/.f64 (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 (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 (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 (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))))))))))) | |
| 19.9% | (/.f64 (-.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 c #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)))))) (/.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)) | |
| 19.8% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) (*.f64 a #s(literal 3 binary64))) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 a #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)))))) | |
| 21.8% | (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 b b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/3 binary64)) (*.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 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))))))))) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/3 binary64)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))))))) | |
| 19.3% | (/.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)) | |
| ▶ | 20.2% | (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #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)))))))) |
| 20.0% | (/.f64 (-.f64 (*.f64 (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)))))) (*.f64 (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))))))) (*.f64 (*.f64 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 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) | |
| 21.1% | (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/3 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 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64)))) (*.f64 a (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal 3 binary64))))) | |
| 19.7% | (/.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)) | |
| 19.4% | (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) #s(literal -3 binary64)) | |
| 19.7% | (/.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)) | |
| 17.4% | (/.f64 (*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))))) (-.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)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 21.6% | (/.f64 (*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 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)))))) #s(literal 1/3 binary64)) a) | |
| 88.9% | (/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64)) | |
| 20.2% | (/.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 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)))))) | |
| 20.2% | (/.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 (+.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))) | |
| 19.7% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) | |
| ✓ | 93.8% | (/.f64 (*.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
| 93.7% | (/.f64 (*.f64 (*.f64 a (*.f64 (*.f64 c c) (fma.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 c b))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) | |
| ✓ | 89.0% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
| 93.8% | (/.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) (*.f64 b a)))) #s(literal -3 binary64)) | |
| ▶ | 88.7% | (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) |
| 21.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal -3 binary64)) (-.f64 #s(literal 0 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))))))) | |
| ▶ | 19.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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)))))) a)) |
| 19.7% | (/.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))))))) | |
| 19.9% | (-.f64 (/.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)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (/.f64 (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)))))))) | |
| 19.2% | (-.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.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))) | |
| 19.3% | (-.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))) | |
| 96.8% | (+.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.f64 (fma.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (*.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))))) | |
| 19.7% | (*.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)) | |
| 19.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.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)))))) | |
| 19.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.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))) | |
| 19.7% | (*.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)))))) | |
| ✓ | 88.7% | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| 93.9% | (*.f64 c (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))) (*.f64 b (*.f64 b b)))) | |
| 94.1% | (*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) b)) |
Compiled 5 306 to 2 238 computations (57.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 (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)))))))) |
| ✓ | cost-diff | 384 | (fma.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (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))))))))) |
| ✓ | cost-diff | 0 | (-.f64 #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 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #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)))))))) |
| ✓ | cost-diff | 64 | (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #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))))))) |
| ✓ | cost-diff | 1344 | (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 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 #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)))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #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)))))) a) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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)))))) a)) |
| ✓ | cost-diff | 0 | (*.f64 c #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 b (*.f64 c #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (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)) #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (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)) #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64))))) |
| ✓ | cost-diff | 384 | (fma.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (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)) #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (/.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 | 2752 | (fma.f64 a (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (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)) #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) |
| 6 426× | accelerator-lowering-fma.f32 |
| 6 426× | accelerator-lowering-fma.f64 |
| 3 880× | *-lowering-*.f32 |
| 3 880× | *-lowering-*.f64 |
| 2 938× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 743 |
| 1 | 233 | 679 |
| 2 | 714 | 619 |
| 3 | 3333 | 591 |
| 4 | 7091 | 591 |
| 0 | 8441 | 563 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* a (+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b)) |
(+ (* a (+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) |
a |
(+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b))) |
(/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0)) |
(* -135/128 (* c (* c (* c c)))) |
-135/128 |
(* c (* c (* c c))) |
c |
(* c (* c c)) |
(* c c) |
(+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0) |
b |
(+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0) |
(+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0) |
(+ (* b b) 0) |
0 |
(+ (* b (+ (* b b) 0)) 0) |
(/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) |
(* (* c (* c c)) -9/16) |
-9/16 |
(* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b) |
(+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) |
(/ (* (* c c) -3/8) (* b (+ (* b b) 0))) |
(* (* c c) -3/8) |
-3/8 |
(* b (+ (* b b) 0)) |
(/ (* c -1/2) b) |
(* c -1/2) |
-1/2 |
(/ 1 (/ b (* c -1/2))) |
1 |
(/ b (* c -1/2)) |
b |
(* c -1/2) |
c |
-1/2 |
(/ 1 (* (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) a)) |
1 |
(* (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) a) |
(/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
-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 |
(+ (* b b) 0) |
0 |
(/ (- (- 0 (+ (* c (* a -3)) (+ (* b b) 0))) (- 0 (+ (* b b) 0))) (* (* a 3) (- 0 (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))) |
(- (- 0 (+ (* c (* a -3)) (+ (* b b) 0))) (- 0 (+ (* b b) 0))) |
(- 0 (+ (* c (* a -3)) (+ (* b b) 0))) |
0 |
(+ (* c (* a -3)) (+ (* b b) 0)) |
c |
(* a -3) |
a |
-3 |
(+ (* b b) 0) |
b |
(- 0 (+ (* b b) 0)) |
(* (* a 3) (- 0 (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(* a 3) |
3 |
(- 0 (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) |
(sqrt (+ (* c (* a -3)) (+ (* b b) 0))) |
(+ (* (/ (+ (* (* c a) -3) (* b b)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))) |
(/ (+ (* (* c a) -3) (* b b)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(+ (* (* c a) -3) (* b b)) |
(* c a) |
c |
a |
-3 |
(* b b) |
b |
(+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) |
(sqrt (+ (* c (* a -3)) (+ (* b b) 0))) |
(+ (* c (* a -3)) (+ (* b b) 0)) |
(* a -3) |
(+ (* b b) 0) |
0 |
(/ 1/3 a) |
1/3 |
(neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))) |
(/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(* a 3) |
3 |
| Outputs |
|---|
(+ (* (+ (* a (+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b)) |
(fma.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (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))) (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal -135/128 binary64) c)) (fma.f64 b b #s(literal 0 binary64))) #s(literal -9/16 binary64))) (*.f64 a a) (*.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 (+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) |
(fma.f64 a (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (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))) (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal -135/128 binary64) c)) (fma.f64 b b #s(literal 0 binary64))) #s(literal -9/16 binary64))) (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) |
a |
(+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b))) |
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (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))) (+.f64 (/.f64 (*.f64 a (*.f64 #s(literal -135/128 binary64) c)) (fma.f64 b b #s(literal 0 binary64))) #s(literal -9/16 binary64))) |
(/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0)) |
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 (fma.f64 b (fma.f64 b b #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)) #s(literal 0 binary64))) |
(* -135/128 (* c (* c (* c c)))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) |
-135/128 |
#s(literal -135/128 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) |
(+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0) |
(fma.f64 (fma.f64 b (fma.f64 b b #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)) #s(literal 0 binary64)) |
b |
(+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0) |
(fma.f64 (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)) #s(literal 0 binary64)) |
(+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 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)) |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(+ (* b (+ (* b b) 0)) 0) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) |
(/.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)))) |
-9/16 |
#s(literal -9/16 binary64) |
(* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) 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)) |
(+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) |
(fma.f64 b (fma.f64 b (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 (*.f64 c (*.f64 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 c (*.f64 c #s(literal -3/8 binary64))) |
-3/8 |
#s(literal -3/8 binary64) |
(* b (+ (* b b) 0)) |
(fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #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) |
(/ 1 (/ b (* c -1/2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
1 |
#s(literal 1 binary64) |
(/ b (* c -1/2)) |
(/.f64 b (*.f64 c #s(literal -1/2 binary64))) |
b |
(* c -1/2) |
(*.f64 c #s(literal -1/2 binary64)) |
c |
-1/2 |
#s(literal -1/2 binary64) |
(/ 1 (* (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* 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))))) (*.f64 a #s(literal -3 binary64))) |
1 |
#s(literal 1 binary64) |
(* (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) a) |
(/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
(/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
-3 |
#s(literal -3 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) |
(*.f64 a #s(literal -3 binary64)) |
a |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(/ (- (- 0 (+ (* c (* a -3)) (+ (* b b) 0))) (- 0 (+ (* b b) 0))) (* (* a 3) (- 0 (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))) |
(/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) #s(literal 0 binary64)) (fma.f64 a (fma.f64 #s(literal 3 binary64) (+.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))) |
(- (- 0 (+ (* c (* a -3)) (+ (* b b) 0))) (- 0 (+ (* b b) 0))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) #s(literal 0 binary64)) |
(- 0 (+ (* c (* a -3)) (+ (* b b) 0))) |
(-.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
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) |
(*.f64 a #s(literal -3 binary64)) |
a |
-3 |
#s(literal -3 binary64) |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
b |
(- 0 (+ (* b b) 0)) |
(-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) |
(* (* a 3) (- 0 (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(fma.f64 a (fma.f64 #s(literal -3 binary64) (+.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)) |
(* a 3) |
(*.f64 a #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(- 0 (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(-.f64 (-.f64 #s(literal 0 binary64) 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)))) |
(+ (* (/ (+ (* (* c a) -3) (* b b)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))) |
(fma.f64 b (/.f64 b (fma.f64 a (fma.f64 #s(literal -3 binary64) (+.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))) (/.f64 (fma.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) #s(literal 1/3 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)))))))) |
(/ (+ (* (* c a) -3) (* b b)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(/.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)))))) |
(+ (* (* c a) -3) (* b b)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
(* c a) |
(*.f64 a c) |
c |
a |
-3 |
#s(literal -3 binary64) |
(* b b) |
(fma.f64 b b #s(literal 0 binary64)) |
b |
(+ 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)))) |
(+ (* c (* a -3)) (+ (* b b) 0)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
(* a -3) |
(*.f64 a #s(literal -3 binary64)) |
(+ (* b b) 0) |
(fma.f64 b b #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
1/3 |
#s(literal 1/3 binary64) |
(neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))) |
(/.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 #s(literal -3 binary64) (+.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))) |
(/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(/.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 a (fma.f64 #s(literal 3 binary64) (+.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))) |
(* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(fma.f64 a (fma.f64 #s(literal 3 binary64) (+.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)) |
(* a 3) |
(*.f64 a #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.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)))))) |
| ✓ | accuracy | 99.4% | (/.f64 (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))))))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) a) |
| ✓ | accuracy | 22.3% | (fma.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (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))))))))) |
| ✓ | accuracy | 99.8% | (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #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))))))) |
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #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)))))))) |
| ✓ | accuracy | 20.5% | (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 #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)))))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #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)))))) a) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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)))))) a)) |
| ✓ | accuracy | 20.4% | (-.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 b (*.f64 c #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 c #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) |
| ✓ | accuracy | 99.5% | (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)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b)) |
| ✓ | accuracy | 99.2% | (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) |
| 258.0ms | 117× | 2 | valid |
| 91.0ms | 71× | 1 | valid |
| 26.0ms | 50× | 0 | valid |
| 16.0ms | 10× | 3 | valid |
| 11.0ms | 6× | 4 | valid |
| 5.0ms | 2× | 5 | exit |
Compiled 844 to 72 computations (91.5% saved)
ival-mult: 176.0ms (52.2% of total)ival-add: 56.0ms (16.6% of total)ival-div: 38.0ms (11.3% of total)adjust: 38.0ms (11.3% of total)ival-sub: 12.0ms (3.6% of total)const: 8.0ms (2.4% of total)ival-sqrt: 5.0ms (1.5% of total)ival-neg: 3.0ms (0.9% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))> |
#<alt (+ (* (+ (* a (+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b))> |
#<alt (+ (* a (+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0))))> |
#<alt (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))> |
#<alt (/ 1 (/ b (* c -1/2)))> |
#<alt (/ b (* c -1/2))> |
#<alt (* c -1/2)> |
#<alt (/ 1 (* (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) a))> |
#<alt (* (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) a)> |
#<alt (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))> |
#<alt (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))> |
#<alt (- (- 0 (+ (* c (* a -3)) (+ (* b b) 0))) (- 0 (+ (* b b) 0)))> |
#<alt (* (* a 3) (- 0 (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))> |
#<alt (/ (- (- 0 (+ (* c (* a -3)) (+ (* b b) 0))) (- 0 (+ (* b b) 0))) (* (* a 3) (- 0 (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))> |
#<alt (- 0 (+ (* c (* a -3)) (+ (* b b) 0)))> |
#<alt (+ (* (/ (+ (* (* c a) -3) (* b b)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))))> |
#<alt (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))> |
#<alt (/ (+ (* (* c a) -3) (* b b)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))> |
#<alt (+ (* (* c a) -3) (* b b))> |
#<alt (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0)> |
#<alt (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b))> |
#<alt (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)> |
#<alt (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))> |
#<alt (+ (* c (* a -3)) (+ (* b b) 0))> |
#<alt (/ 1/3 a)> |
#<alt (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))> |
#<alt (* (* a 3) (+ 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 (* -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)))))> |
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#<alt (* -1 (* (pow b 3) (- (* 1/6 (/ 1 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c))))))> |
#<alt (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1/4 c) (* 1/8 c)) (pow b 4))) (/ 1/6 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c))))))> |
#<alt (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -1/4 c) (* 1/8 c))))) (+ (* -2/27 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 3/16 (* a (pow c 2))))) (pow b 6))) (/ 1/6 (* a (pow b 2)))) (+ (* -1/4 (/ c (pow b 4))) (+ (* 1/8 (/ c (pow b 4))) (* 2/9 (/ 1 (* (pow a 2) c))))))))> |
#<alt (* 1/6 (/ b a))> |
#<alt (/ (+ (* 1/8 (/ (* a c) b)) (* 1/6 b)) a)> |
#<alt (/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* 3/16 (/ (* a (pow c 2)) (pow b 3)))))) a)> |
#<alt (/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* a (+ (* -1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3)))))))) a)> |
#<alt (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))> |
#<alt (/ (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2))> |
#<alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))))) (pow a 2))> |
#<alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))))) (pow a 2))> |
#<alt (* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))> |
#<alt (/ (+ (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2))))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2)))) (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2))> |
#<alt (* 1/6 (/ b a))> |
#<alt (+ (* 1/8 (/ c b)) (* 1/6 (/ b a)))> |
#<alt (+ (* 1/6 (/ b a)) (* c (+ (* 3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b)))))> |
#<alt (+ (* 1/6 (/ b a)) (* c (+ (* c (+ (* -1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b)))))> |
#<alt (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))> |
#<alt (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c)> |
#<alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c)> |
#<alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c)> |
#<alt (* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))> |
#<alt (* -1 (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))> |
#<alt (* 6 (* a b))> |
#<alt (* a (+ (* -9/2 (/ (* a c) b)) (* 6 b)))> |
#<alt (* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3)))))))> |
#<alt (* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3)))))))))> |
#<alt (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))> |
#<alt (* (pow a 2) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))> |
#<alt (* (pow a 2) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))))> |
#<alt (* (pow a 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))))> |
#<alt (* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a))))> |
#<alt (* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))))> |
#<alt (* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))))> |
#<alt (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))> |
#<alt (+ (* 3 (* a b)) (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))))> |
#<alt (+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) (* 3 a))))> |
#<alt (+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3 a) (* b (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))))))))> |
#<alt (* 6 (* a b))> |
#<alt (* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (* 6 a)))> |
#<alt (* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a))))> |
#<alt (* b (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a)))))> |
#<alt (* 9/2 (/ (* (pow a 2) c) b))> |
#<alt (* -1 (/ (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b))> |
#<alt (* 6 (* a b))> |
#<alt (+ (* -9/2 (/ (* (pow a 2) c) b)) (* 6 (* a b)))> |
#<alt (+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* -27/8 (/ (* (pow a 3) c) (pow b 3))))))> |
#<alt (+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 5))) (* -27/8 (/ (pow a 3) (pow b 3))))))))> |
#<alt (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))> |
#<alt (* c (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))> |
#<alt (* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))))> |
#<alt (* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))))> |
#<alt (* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* -3 (/ (* a b) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))> |
204 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | b | @ | 0 | (- (- 0 (+ (* c (* a -3)) (+ (* b b) 0))) (- 0 (+ (* b b) 0))) |
| 3.0ms | c | @ | 0 | (/ b (* c -1/2)) |
| 1.0ms | a | @ | -inf | (* (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) a) |
| 1.0ms | c | @ | -inf | (* (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) a) |
| 1.0ms | a | @ | inf | (* (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) a) |
| 1× | batch-egg-rewrite |
| 3 426× | *-lowering-*.f32 |
| 3 426× | *-lowering-*.f64 |
| 2 608× | accelerator-lowering-fma.f32 |
| 2 608× | accelerator-lowering-fma.f64 |
| 2 302× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 491 |
| 1 | 527 | 395 |
| 2 | 5755 | 368 |
| 0 | 8629 | 345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b))) |
(+ (* (+ (* a (+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) a) (/ (* c -1/2) b)) |
(+ (* a (+ (* a (/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0))) (/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)))) (/ (* (* c c) -3/8) (* b (+ (* b b) 0)))) |
(/ (* -135/128 (* c (* c (* c c)))) (+ (* b (+ (* b (+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0)) 0)) 0)) |
(/ 1 (/ b (* c -1/2))) |
(/ b (* c -1/2)) |
(* c -1/2) |
(/ 1 (* (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) a)) |
(* (/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) a) |
(/ -3 (- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(- b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))) |
(- (- 0 (+ (* c (* a -3)) (+ (* b b) 0))) (- 0 (+ (* b b) 0))) |
(* (* a 3) (- 0 (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(/ (- (- 0 (+ (* c (* a -3)) (+ (* b b) 0))) (- 0 (+ (* b b) 0))) (* (* a 3) (- 0 (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))) |
(- 0 (+ (* c (* a -3)) (+ (* b b) 0))) |
(+ (* (/ (+ (* (* c a) -3) (* b b)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) (/ 1/3 a)) (neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))))) |
(neg (/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))))) |
(/ (+ (* (* c a) -3) (* b b)) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
(+ (* (* c a) -3) (* b b)) |
(+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) |
(/ (* (* c (* c c)) -9/16) (* (+ (* (+ (* b b) 0) (+ (* b b) 0)) 0) b)) |
(+ (* (+ (* b b) 0) (+ (* b (+ (* b b) 0)) 0)) 0) |
(/ (* (* c c) -3/8) (* b (+ (* b b) 0))) |
(+ (* c (* a -3)) (+ (* b b) 0)) |
(/ 1/3 a) |
(/ (+ (* b b) 0) (* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0)))))) |
(* (* a 3) (+ b (sqrt (+ (* c (* a -3)) (+ (* b b) 0))))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -135/128 binary64) c)) (*.f64 c (*.f64 c c))) (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 (*.f64 (*.f64 c (*.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 a (*.f64 #s(literal -135/128 binary64) c)) (*.f64 c (*.f64 c c))) (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 (neg.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 (*.f64 (*.f64 a (*.f64 #s(literal -135/128 binary64) c)) (*.f64 c (*.f64 c c))) (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 (neg.f64 (/.f64 (*.f64 c (*.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)))) (/.f64 #s(literal -9/16 binary64) b))) |
(+.f64 (/.f64 (*.f64 (*.f64 c (*.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 a (*.f64 #s(literal -135/128 binary64) c)) (*.f64 c (*.f64 c c))) (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 (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -135/128 binary64) c)) (*.f64 c (*.f64 c c))) (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 (*.f64 (*.f64 c (*.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)))) |
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(fma.f64 #s(literal 3 binary64) (*.f64 a (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 a #s(literal 3 binary64)) b (*.f64 (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)))) |
(fma.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) |
(fma.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 b #s(literal 3 binary64)) a (*.f64 (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)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) #s(literal 3 binary64)) a (*.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (*.f64 b a) #s(literal 3 binary64) (*.f64 (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)))) |
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) a) #s(literal 3 binary64) (*.f64 b (*.f64 a #s(literal 3 binary64)))) |
(neg.f64 (*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 b (*.f64 a #s(literal 3 binary64)))) (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (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))) (*.f64 (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)))) (*.f64 (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))))) (fma.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 b (*.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (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))) (*.f64 (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)))) (*.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 (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))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 b (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (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))) (*.f64 (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))))) (-.f64 (*.f64 b (*.f64 a #s(literal 3 binary64))) (*.f64 (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))))) |
(/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #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 (+.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))))) #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))))) (+.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))) |
(/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (fma.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))))) #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 (*.f64 a #s(literal 3 binary64)) (fma.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)))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b (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 (*.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b (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 (*.f64 (-.f64 #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 (+.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))))) #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64))) (fma.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))))) #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.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))))) #s(literal 0 binary64)) (*.f64 a #s(literal 3 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
(/.f64 (*.f64 (fma.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)))) (fma.f64 b (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 a #s(literal 3 binary64))) (-.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b (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 (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b b #s(literal 0 binary64)))) (*.f64 a #s(literal 3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
(*.f64 a (*.f64 #s(literal 3 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) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #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 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))))) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (neg.f64 (*.f64 a #s(literal 3 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) |
(*.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) #s(literal 3 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a) |
(*.f64 (neg.f64 (*.f64 a #s(literal 3 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) |
| 1× | egg-herbie |
| 7 074× | *-lowering-*.f32 |
| 7 074× | *-lowering-*.f64 |
| 4 994× | accelerator-lowering-fma.f32 |
| 4 994× | accelerator-lowering-fma.f64 |
| 4 918× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2916 | 22217 |
| 0 | 8493 | 21348 |
| 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))) |
(* -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)) |
(* -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 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (pow c 4) (pow b 7))) |
(* -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)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b c)) |
(* -2 (/ b 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) |
(* -1/2 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)) |
(* 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))))) |
(* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) |
(+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* b (+ (* 3 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (* 3 (/ 1 (* c (pow (sqrt -3) 2))))))) |
(+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -3 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (sqrt -3)))))) (* 3 (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* c (pow (sqrt -3) 2))))))) |
(* -2 (/ b c)) |
(* b (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 3/2 (/ a (pow b 2))) (* 3 (/ (+ (* -3/8 (* (pow a 2) c)) (* 3/4 (* (pow a 2) c))) (pow b 4)))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 3/2 (/ a (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* (pow a 2) c)) (* 3/4 (* (pow a 2) c)))))) (+ (* -9/16 (* (pow a 3) (pow c 2))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b 6))) (* 3 (/ (+ (* -3/8 (* (pow a 2) c)) (* 3/4 (* (pow a 2) c))) (pow b 4))))) (* 2 (/ 1 c)))) |
(* -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) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ (* -3 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b)) |
(* -2 (/ b c)) |
(/ (+ (* -2 b) (* 3/2 (/ (* a c) b))) c) |
(/ (+ (* -2 b) (* c (+ (* 3/2 (/ a b)) (* 3 (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 3/4 (/ (pow a 2) (pow b 3))))))))) c) |
(/ (+ (* -2 b) (* c (+ (* 3/2 (/ a b)) (* c (+ (* 3 (* c (+ (* -3/4 (/ (* a (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 3/4 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* 2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)))))) (* 3 (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 3/4 (/ (pow a 2) (pow b 3)))))))))) c) |
(* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) c) |
(/ (+ (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2))))) c) |
(/ (+ (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2))) (* 3 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (pow c 3)))))) c) |
(* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (pow (sqrt 3) 2)))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 (/ (* b c) (pow (sqrt 3) 2))) (* -3 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) c))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 (/ (* b c) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) c)) (* 3 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -2 (/ b c)) |
(+ (* -2 (/ b c)) (* 3/2 (/ a b))) |
(+ (* -2 (/ b c)) (* a (+ (* 3 (* a (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) |
(+ (* -2 (/ b c)) (* a (+ (* a (+ (* 3 (* 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 (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3))))))) (* 3/2 (/ 1 b))))) |
(* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (* -3 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) |
(* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -3 (/ b (* c (pow (sqrt 3) 2))))) |
(+ (* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(+ (* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (* c (pow (sqrt -3) 2)))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* -1 (* b (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* -1 (* b (+ (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(* -2 (/ b (* a c))) |
(* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -9/4 (* a c)) (* 9/8 (* a c))) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 3/2 (/ 1 (pow b 2)))) (+ (* -9/4 (/ (* a c) (pow b 4))) (+ (* 9/8 (/ (* a c) (pow b 4))) (* 2 (/ 1 (* a c))))))) |
(/ -3/2 b) |
(* -1 (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* -1 (/ (+ (* -81/32 (* (pow a 3) (pow c 3))) (* -81/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -9/8 (/ (* a c) (pow b 2))))) b)) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* -1 (* c (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -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))))) c) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (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 (/ b (* a (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (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))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (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 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* -1 (* a (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5))))))) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (* -3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a) |
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (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))) (+ 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)) |
(* -6 (* a b)) |
(* a (+ (* -6 b) (* 9/2 (/ (* a c) b)))) |
(* a (+ (* -6 b) (* a (+ (* 27/8 (/ (* a (pow c 2)) (pow b 3))) (* 9/2 (/ c b)))))) |
(* a (+ (* -6 b) (* a (+ (* 9/2 (/ c b)) (* a (+ (* 27/8 (/ (pow c 2) (pow b 3))) (* 81/16 (/ (* a (pow c 3)) (pow b 5))))))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (* -3 (/ b a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* -3 (* a b)) (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))) |
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* -3/2 (* (sqrt (/ a c)) (/ b (sqrt -3))))))) |
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* b (+ (* -3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) |
(* -6 (* a b)) |
(* b (+ (* -6 a) (* 9/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 9/2 (/ (* (pow a 2) c) (pow b 2)))))) |
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 9/2 (/ (* (pow a 2) c) (pow b 2))) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) |
(* -9/2 (/ (* (pow a 2) c) b)) |
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 9/2 (* (pow a 2) c))) b)) |
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4)))))) b)) |
(* -6 (* a b)) |
(+ (* -6 (* a b)) (* 9/2 (/ (* (pow a 2) c) b))) |
(+ (* -6 (* a b)) (* c (+ (* 27/8 (/ (* (pow a 3) c) (pow b 3))) (* 9/2 (/ (pow a 2) b))))) |
(+ (* -6 (* a b)) (* c (+ (* 9/2 (/ (pow a 2) b)) (* c (+ (* 27/8 (/ (pow a 3) (pow b 3))) (* 81/16 (/ (* (pow a 4) c) (pow b 5)))))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* -3 (/ (* a b) c)))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3))))))) |
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ (* a b) c))))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))))) |
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* -1 (/ (+ (* -3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c))))) |
(* -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)) |
(* -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 (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4)))))))) |
(* -1 (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 (- (* -1 (/ (pow b 2) c)) (* -3 a))) |
(* c (- (* -1 (/ (pow b 2) c)) (* -3 a))) |
(* c (- (* -1 (/ (pow b 2) c)) (* -3 a))) |
(* 3 (* a c)) |
(* -1 (* c (- (/ (pow b 2) c) (* 3 a)))) |
(* -1 (* c (- (/ (pow b 2) c) (* 3 a)))) |
(* -1 (* c (- (/ (pow b 2) c) (* 3 a)))) |
(* -1 (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 (- (* -1 (/ (pow b 2) a)) (* -3 c))) |
(* a (- (* -1 (/ (pow b 2) a)) (* -3 c))) |
(* a (- (* -1 (/ (pow b 2) a)) (* -3 c))) |
(* 3 (* a c)) |
(* -1 (* a (- (/ (pow b 2) a) (* 3 c)))) |
(* -1 (* a (- (/ (pow b 2) a) (* 3 c)))) |
(* -1 (* a (- (/ (pow b 2) a) (* 3 c)))) |
(* 3 (* a c)) |
(- (* -1 (pow b 2)) (* -3 (* a c))) |
(- (* -1 (pow b 2)) (* -3 (* a c))) |
(- (* -1 (pow b 2)) (* -3 (* a c))) |
(* -1 (pow b 2)) |
(* (pow b 2) (- (* 3 (/ (* a c) (pow b 2))) 1)) |
(* (pow b 2) (- (* 3 (/ (* a c) (pow b 2))) 1)) |
(* (pow b 2) (- (* 3 (/ (* a c) (pow b 2))) 1)) |
(* -1 (pow b 2)) |
(* (pow b 2) (- (* 3 (/ (* a c) (pow b 2))) 1)) |
(* (pow b 2) (- (* 3 (/ (* a c) (pow b 2))) 1)) |
(* (pow b 2) (- (* 3 (/ (* a c) (pow b 2))) 1)) |
(* -1/2 (/ c b)) |
(* c (- (* c (- (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (- (+ (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* c (- (* -1/3 (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (* -1/3 (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (- (+ (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* c (- (+ (* -1/3 (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (* c (- (* -1/3 (+ (* -1/8 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b))) (+ (* 9/16 (/ (* (pow a 2) (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 4))) (+ (* 3/4 (/ (* a (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (pow b 2))) (* 243/256 (/ (pow a 3) (pow b 7))))))) (* -1/3 (+ (* -81/128 (/ (pow a 3) (pow b 7))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b))) (* 3/4 (/ (* a (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5))))) (pow b 2))))))))) (* -1/3 (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 1/3 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))) c))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2)))))) (sqrt -3)))) (pow c 2))) (* 1/3 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))) c)))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2)))))) (sqrt -3)))) (pow c 2))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2)))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))))) (* a (pow (sqrt -3) 2))))) (pow c 3))) (* 1/3 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))) c))))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 3))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ (- (* 1/3 (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2)))))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/3 (+ (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (sqrt 3))))) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/3 (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (* a (pow (sqrt 3) 2)))))) (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) c)) (* -1/3 (+ (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (sqrt 3)))))) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(- (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* 1/8 (/ c b))) |
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b))) |
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (+ (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* a (- (* -1/3 (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* -1/3 (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b))) |
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (+ (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* a (- (+ (* -1/3 (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* a (- (* -1/3 (+ (* -27/32 (/ (* (pow c 3) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 6))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)) (+ (* 9/16 (/ (* (pow c 2) (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 4))) (* 3/4 (/ (* c (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (pow b 2))))))) (* -1/3 (+ (* -81/128 (/ (pow c 4) (pow b 7))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)) (* 3/4 (/ (* c (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5))))) (pow b 2))))))))) (* -1/3 (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) a) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a)))) (+ (* -1/3 (/ (pow b 3) (* a (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))))) a) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))))) (* c (pow (sqrt -3) 2))))) (pow a 3))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a))))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 3))) (+ (* -1/3 (/ (pow b 3) (* a (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))))) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* c (pow (sqrt 3) 2)))))) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* 1/3 (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) |
(* -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 (- (* 1/3 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (+ (* 1/3 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (* b (+ (* -1/3 (+ (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (sqrt -3))) (* 3/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2)))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(/ (- (* 1/3 (- (* -3/2 c) (* -3/8 c))) (* 1/8 c)) b) |
(/ (- (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (* 1/3 (- (* -3/2 c) (* -3/8 c)))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (- (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (+ (* -1/3 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))) (pow b 4))) (* 1/3 (- (* -3/2 c) (* -3/8 c))))) (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 4))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (- (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 3) (* (pow c 3) (- (* -3/2 c) (* -3/8 c))))) (+ (* -1/8 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a)) (+ (* 9/16 (* (pow a 2) (* (pow c 2) (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))) (* 3/4 (* a (* c (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))))))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (+ (* -1/3 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))) (pow b 4))) (* 1/3 (- (* -3/2 c) (* -3/8 c)))))) (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 4))) (+ (* -1/3 (/ (+ (* -81/128 (* (pow a 3) (pow c 4))) (+ (* -1/8 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a)) (* 3/4 (* a (* c (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3))))))))) (pow b 6))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (* 2/3 (/ 1 a))) (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2)))))) |
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2))))) (pow b 4))) (* 2/3 (/ 1 a)))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2))) (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 4))))))) |
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -9/8 (* (pow a 2) (* (pow c 2) (+ (* -3/4 c) (* 15/8 c))))) (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2)))))))) (+ (* -2/9 (/ (+ (* 3/2 (* a (* c (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))))) (* 243/64 (* (pow a 5) (pow c 5)))) (* (pow a 3) (pow c 2)))) (* 5/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c)))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2))))) (pow b 4))) (* 2/3 (/ 1 a))))) (+ (* -1/3 (/ (+ (* -9/8 (* (pow a 2) (* (pow c 2) (+ (* -3/4 c) (* 3/8 c))))) (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2)))))))) (+ (* -2/9 (/ (+ (* 3/2 (* a (* c (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))))) (* 243/64 (* (pow a 5) (pow c 5)))) (* (pow a 3) (pow c 2)))) (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c)))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2))) (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 4)))))))) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(* (pow b 2) (- (* 1/3 (/ b (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* (pow b 2) (- (* b (+ (* 1/3 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* (pow b 2) (- (* b (+ (* b (- (* -1/3 (* b (- (* 1/2 (/ 1 (* (pow a 3) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (* -1/3 (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* -1/6 (/ b a)) |
(* b (- (* -1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a)))) |
(* b (- (* -3/16 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a))))) |
(* b (- (* 1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 1/8 (/ c (pow b 2))) (+ (* 1/6 (/ 1 a)) (* 3/16 (/ (* a (pow c 2)) (pow b 4))))))) |
(* -2/9 (/ (pow b 3) (* (pow a 2) c))) |
(* -1 (* (pow b 3) (- (* 2/9 (/ 1 (* (pow a 2) c))) (* 1/6 (/ 1 (* a (pow b 2))))))) |
(* -1 (* (pow b 3) (- (+ (* 1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 4))) (* 2/9 (/ 1 (* (pow a 2) c)))) (/ 1/6 (* a (pow b 2)))))) |
(* -1 (* (pow b 3) (- (+ (* 1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 6))) (* 2/9 (/ 1 (* (pow a 2) c)))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 4))) (/ 1/6 (* a (pow b 2))))))) |
(* -1/6 (/ b a)) |
(/ (- (* -1/8 (/ (* a c) b)) (* 1/6 b)) a) |
(/ (- (* a (- (* -3/16 (/ (* a (pow c 2)) (pow b 3))) (* 1/8 (/ c b)))) (* 1/6 b)) a) |
(/ (- (* a (- (* a (- (* 1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3))))) (* 1/8 (/ c b)))) (* 1/6 b)) a) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (- (* 1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2)) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))))) (pow a 2)) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))))) (pow a 2)) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(/ (- (* -1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2)))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(/ (- (* -1 (/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(* -1/6 (/ b a)) |
(- (* -1/8 (/ c b)) (* 1/6 (/ b a))) |
(- (* c (- (* -3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b)))) (* 1/6 (/ b a))) |
(- (* c (- (* c (- (* 1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b)))) (* 1/6 (/ b a))) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (- (* 1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(* -1 (/ (- (* 1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c)) (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* 1/2 b) |
(+ (* 1/2 b) (* c (- (* -3/2 (/ a b)) (* -3/8 (/ a b))))) |
(+ (* 1/2 b) (* c (- (+ (* -3/2 (/ a b)) (* -1 (* c (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))))) (* -3/8 (/ a b))))) |
(+ (* 1/2 b) (* c (- (+ (* -3/2 (/ a b)) (* c (- (* -1 (* c (+ (* -9/16 (/ (* (pow a 2) (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 4))) (+ (* -27/64 (/ (pow a 3) (pow b 5))) (* 3/4 (/ (* a (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))) (pow b 2))))))) (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))))) (* -3/8 (/ a b))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2)))))) (* a (pow (sqrt -3) 2))))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* 3/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2))))) (* a (pow (sqrt 3) 2))))) (+ (* 3/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* 1/2 b) |
(+ (* 1/2 b) (* a (- (* -3/2 (/ c b)) (* -3/8 (/ c b))))) |
(+ (* 1/2 b) (* a (- (+ (* -3/2 (/ c b)) (* -1 (* a (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))))) (* -3/8 (/ c b))))) |
(+ (* 1/2 b) (* a (- (+ (* -3/2 (/ c b)) (* a (- (* -1 (* a (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2))))))) (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))))) (* -3/8 (/ c b))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))))) (* c (pow (sqrt -3) 2))))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2))))) (* c (pow (sqrt 3) 2))))) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (+ (* -1 (* b (+ (* 3/2 (/ 1 (* a (* c (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))))) (sqrt -3)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(* 1/2 b) |
(* b (- (+ 1/2 (* -3/2 (/ (* a c) (pow b 2)))) (* -3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1 (/ (+ (* -3/4 (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (* -9/32 (* (pow a 2) (pow c 2)))) (pow b 4))))) (* -3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (+ (* -27/64 (* (pow a 3) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (* -9/32 (* (pow a 2) (pow c 2))))))))) (pow b 6))))) (+ (* -3/4 (/ (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c))))) (pow b 4))) (+ (* -3/8 (/ (* a c) (pow b 2))) (* -9/32 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2/3 (/ (pow b 3) (* a c))) |
(* -1 (* (pow b 3) (- (* 5/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 15/8 (* a c))) (pow b 4))) (* 5/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 15/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 45/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 5/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 15/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a 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)))) |
(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))))) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(* -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))) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(* -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 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 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) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(* (pow b 2) (+ (* -1/3 (/ b (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* (pow b 2) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* b (- (* -1/3 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))))) |
(* (pow b 2) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* b (- (* b (+ (* -1/3 (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (* 1/3 (* b (- (* 1/2 (/ 1 (* (pow a 3) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))))) |
(* 1/6 (/ b a)) |
(* b (+ (* 1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a)))) |
(* b (- (+ (* 3/16 (/ (* a (pow c 2)) (pow b 4))) (* 1/6 (/ 1 a))) (* -1/8 (/ c (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -9/32 (* (pow a 2) (pow c 3))) (* -9/128 (* (pow a 2) (pow c 3)))) (pow b 6))) (* 1/6 (/ 1 a))) (+ (* -3/16 (/ (* a (pow c 2)) (pow b 4))) (* -1/8 (/ c (pow b 2)))))) |
(* 2/9 (/ (pow b 3) (* (pow a 2) c))) |
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1/4 c) (* 1/8 c)) (pow b 4))) (/ 1/6 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -1/4 c) (* 1/8 c))))) (+ (* -2/27 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 3/16 (* a (pow c 2))))) (pow b 6))) (/ 1/6 (* a (pow b 2)))) (+ (* -1/4 (/ c (pow b 4))) (+ (* 1/8 (/ c (pow b 4))) (* 2/9 (/ 1 (* (pow a 2) c)))))))) |
(* 1/6 (/ b a)) |
(/ (+ (* 1/8 (/ (* a c) b)) (* 1/6 b)) a) |
(/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* 3/16 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* a (+ (* -1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2)) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))))) (pow a 2)) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))))) (pow a 2)) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(/ (+ (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2))))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2)))) (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(* 1/6 (/ b a)) |
(+ (* 1/8 (/ c b)) (* 1/6 (/ b a))) |
(+ (* 1/6 (/ b a)) (* c (+ (* 3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b))))) |
(+ (* 1/6 (/ b a)) (* c (+ (* c (+ (* -1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(* -1 (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* 6 (* a b)) |
(* a (+ (* -9/2 (/ (* a c) b)) (* 6 b))) |
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3))))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (pow a 2) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))) |
(* (pow a 2) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))) |
(* (pow a 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* 3 (* a b)) (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))) |
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) (* 3 a)))) |
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3 a) (* b (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))))))) |
(* 6 (* a b)) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (* 6 a))) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a)))) |
(* b (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a))))) |
(* 9/2 (/ (* (pow a 2) c) b)) |
(* -1 (/ (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b)) |
(* 6 (* a b)) |
(+ (* -9/2 (/ (* (pow a 2) c) b)) (* 6 (* a b))) |
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* -27/8 (/ (* (pow a 3) c) (pow b 3)))))) |
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 5))) (* -27/8 (/ (pow a 3) (pow b 3)))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* c (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))) |
(* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -3 (/ (* a b) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
| 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 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* 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 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* 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 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* -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)))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))))) |
(* -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 a c)) (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 a c)) (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 a c)) (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 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* (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 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* (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 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* -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 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* (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 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* (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 (pow.f64 b #s(literal 5 binary64)) c)))) |
(* -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 b b) (*.f64 c (*.f64 c c))) (*.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 b b) (*.f64 c (*.f64 c c))) (*.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 b b) (*.f64 c (*.f64 c c))) (*.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))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 9/16 binary64) (*.f64 c (*.f64 c c)) (/.f64 (*.f64 #s(literal 135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 9/16 binary64) (*.f64 c (*.f64 c c)) (/.f64 (*.f64 #s(literal 135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 9/16 binary64) (*.f64 c (*.f64 c c)) (/.f64 (*.f64 #s(literal 135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 a (fma.f64 a (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)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/.f64 (*.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))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.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)))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(*.f64 (*.f64 a (*.f64 a a)) (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 -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b b))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(*.f64 (*.f64 a (*.f64 a a)) (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 -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 (*.f64 a (*.f64 a a)) b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b b)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/.f64 (*.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))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(neg.f64 (*.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)))) (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))))) |
(* -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)))))) |
(neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal 135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 a (*.f64 b (*.f64 b b))))) a))))) |
(* -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)))))) |
(neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal 135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 a b))) a))) a))))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) 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)))) |
(*.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 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/.f64 (*.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))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))))) |
(* (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))))))) |
(*.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))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 c 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)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 c c))))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (*.f64 c (*.f64 c c)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/.f64 (*.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))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
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(*.f64 c (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 a b) c)))) |
(* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))) |
(*.f64 c (fma.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 a b) c))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))))) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))))) (fma.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 a b) c)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (*.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* -3 (/ (* a b) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 a b)) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 a b))) c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a b) (neg.f64 (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 3/2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) c))) c))))) |
Compiled 153 357 to 8 590 computations (94.4% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 704 | 17 | 2 721 |
| Fresh | 37 | 20 | 57 |
| Picked | 4 | 1 | 5 |
| Done | 2 | 2 | 4 |
| Total | 2 747 | 40 | 2 787 |
| Status | Accuracy | Program |
|---|---|---|
| 97.2% | (fma.f64 (fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 b (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)) #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) | |
| 22.2% | (fma.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))) | |
| 22.2% | (fma.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (+.f64 b (sqrt.f64 (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (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))))))))) | |
| 96.2% | (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)) | |
| 94.4% | (/.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) | |
| 94.0% | (/.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))) | |
| 96.1% | (/.f64 (fma.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (fma.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 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (pow.f64 b #s(literal 7 binary64))) | |
| 20.2% | (/.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)) | |
| 88.5% | (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 88.6% | (/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64)) | |
| 88.6% | (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -2 binary64) c)) | |
| 19.3% | (/.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)) | |
| 20.0% | (/.f64 (-.f64 (*.f64 (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)))))) (*.f64 (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))))))) (*.f64 (*.f64 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 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) | |
| 19.7% | (/.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)) | |
| 19.7% | (/.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)) | |
| 88.9% | (/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64)) | |
| ✓ | 89.0% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
| 99.2% | (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #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)))))))) | |
| 96.0% | (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)) (/.f64 (*.f64 #s(literal -2 binary64) b) c))) | |
| 94.3% | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 b c) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b))) | |
| 94.3% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a c)) b)) c)) | |
| 19.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) | |
| ✓ | 88.7% | (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) |
| 94.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2 binary64) b) a)) c) a)) | |
| 88.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 a c)) a)) | |
| 19.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 binary64))) a)) | |
| 19.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a)) | |
| 19.7% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.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)))))) #s(literal -3 binary64)) a)) | |
| 94.2% | (/.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) a) (*.f64 b b)) (/.f64 #s(literal 2 binary64) c)))) | |
| 19.7% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) | |
| 19.3% | (-.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))) | |
| 96.8% | (+.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (*.f64 (fma.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 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b))) (*.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))))) | |
| 19.7% | (*.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)) | |
| 19.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.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)))))) | |
| 88.7% | (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) c))) | |
| 19.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.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))) | |
| 19.7% | (*.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)))))) | |
| ✓ | 88.7% | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| 93.9% | (*.f64 c (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))) (*.f64 b (*.f64 b b)))) | |
| 94.1% | (*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) b)) |
Compiled 5 463 to 1 156 computations (78.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) 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 #s(literal 1 binary64) b) (/.f64 #s(literal -2 binary64) c)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 a c)) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) c))) |
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) b)) |
(/.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 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 b c) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b))) |
(*.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 (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 c (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))) (*.f64 b (*.f64 b b)))) |
(/.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))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (fma.f64 b b #s(literal 0 binary64))))) (*.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) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a c)) b)) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.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))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) a) (*.f64 b b)) (/.f64 #s(literal 2 binary64) c)))) |
(/.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 (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))) |
(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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a)) |
(/.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 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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)))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #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 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))))) (*.f64 #s(literal 3 binary64) a)) |
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(/.f64 (-.f64 (pow.f64 (/.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)) (+.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)) (pow.f64 (/.f64 (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))))))) #s(literal 3 binary64))) (fma.f64 (/.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)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (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))) (*.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))))))) (fma.f64 (/.f64 (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 (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 (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 (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 (/.f64 (pow.f64 (/.f64 (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)))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (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)))))) (*.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)))))) (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 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))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (+.f64 b (sqrt.f64 (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))))))))) (/.f64 (/.f64 (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 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 b (sqrt.f64 (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)))))))) (fma.f64 (/.f64 (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)))))) (*.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)))))) (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 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))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (+.f64 b (sqrt.f64 (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)))))))))) (*.f64 #s(literal 3 binary64) a)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (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)))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (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)))))) (*.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)))))) (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 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))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (+.f64 b (sqrt.f64 (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))))))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)) #s(literal 0 binary64)) b) #s(literal 0 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 b (sqrt.f64 (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)))))))) (fma.f64 (/.f64 (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)))))) (*.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)))))) (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 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))) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))) (*.f64 (+.f64 b (sqrt.f64 (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))))))))) (*.f64 a #s(literal 3 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #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)))))))) |
5 calls:
| 58.0ms | a |
| 33.0ms | b |
| 31.0ms | c |
| 31.0ms | (/.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)) |
| 30.0ms | (*.f64 #s(literal 3 binary64) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | a |
| 99.2% | 1 | b |
| 99.2% | 1 | c |
| 99.2% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.2% | 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 #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 #s(literal 1 binary64) b) (/.f64 #s(literal -2 binary64) c)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 a c)) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) c))) |
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) b)) |
(/.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 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 b c) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b))) |
(*.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 (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 c (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))) (*.f64 b (*.f64 b b)))) |
(/.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))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (fma.f64 b b #s(literal 0 binary64))))) (*.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) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a c)) b)) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.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))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) a) (*.f64 b b)) (/.f64 #s(literal 2 binary64) c)))) |
(/.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 (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))) |
(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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a)) |
(/.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 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #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)))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #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 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (fma.f64 b b #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (fma.f64 c #s(literal -3 binary64) (/.f64 (*.f64 b b) a))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -2 binary64) b) a)) c) 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 #s(literal 1 binary64) (*.f64 (*.f64 (/.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)))))) #s(literal -3 binary64)) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal -1/3 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)) |
| Outputs |
|---|
(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)) |
5 calls:
| 33.0ms | b |
| 29.0ms | (/.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)) |
| 12.0ms | c |
| 12.0ms | (*.f64 #s(literal 3 binary64) a) |
| 11.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 1 | a |
| 94.4% | 1 | b |
| 94.4% | 1 | c |
| 94.4% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 94.4% | 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 #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 #s(literal 1 binary64) b) (/.f64 #s(literal -2 binary64) c)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 a c)) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) c))) |
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) b)) |
(/.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 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 b c) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b))) |
(*.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 (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 c (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))) (*.f64 b (*.f64 b b)))) |
(/.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))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (fma.f64 b b #s(literal 0 binary64))))) (*.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) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a c)) b)) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.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))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) a) (*.f64 b b)) (/.f64 #s(literal 2 binary64) c)))) |
(/.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 (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))) |
| Outputs |
|---|
(/.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:
| 20.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 10.0ms | c |
| 8.0ms | (*.f64 #s(literal 3 binary64) a) |
| 8.0ms | b |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 1 | a |
| 94.4% | 1 | c |
| 94.4% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 94.4% | 1 | b |
| 94.4% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
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 #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 #s(literal 1 binary64) b) (/.f64 #s(literal -2 binary64) c)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 a c)) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) c))) |
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) b)) |
(/.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 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 b c) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b))) |
(*.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 (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 c (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 #s(literal -3/8 binary64) (*.f64 a c))) (*.f64 b (*.f64 b b)))) |
(/.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))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (fma.f64 b b #s(literal 0 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 b c) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b))) |
5 calls:
| 7.0ms | (*.f64 #s(literal 3 binary64) a) |
| 6.0ms | a |
| 6.0ms | c |
| 6.0ms | b |
| 5.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 1 | a |
| 94.3% | 1 | b |
| 94.3% | 1 | c |
| 94.3% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 94.3% | 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)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) 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 #s(literal 1 binary64) b) (/.f64 #s(literal -2 binary64) c)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 a c)) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) c))) |
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) b)) |
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) b)) |
5 calls:
| 15.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | c |
| 4.0ms | a |
| 4.0ms | b |
| 3.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 1 | a |
| 94.1% | 1 | b |
| 94.1% | 1 | c |
| 94.1% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 94.1% | 1 | (*.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 #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 #s(literal 1 binary64) b) (/.f64 #s(literal -2 binary64) c)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 a c)) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) c))) |
| Outputs |
|---|
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
5 calls:
| 25.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 3.0ms | c |
| 3.0ms | (*.f64 #s(literal 3 binary64) a) |
| 3.0ms | b |
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 1 | a |
| 89.0% | 1 | c |
| 89.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 89.0% | 1 | b |
| 89.0% | 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)
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:
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | c |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 1 | c |
| 88.7% | 1 | a |
| 88.7% | 1 | b |
| 88.7% | 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)) |
| 88.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
| 48× | *-commutative_binary64 |
| 24× | +-commutative_binary64 |
| 24× | neg-mul-1_binary64 |
| 22× | sub-neg_binary64 |
| 22× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 93 |
| 1 | 63 | 93 |
| 2 | 74 | 93 |
| 3 | 92 | 93 |
| 4 | 110 | 93 |
| 5 | 128 | 93 |
| 6 | 143 | 93 |
| 7 | 150 | 93 |
| 8 | 153 | 93 |
| 9 | 154 | 93 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #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)))))))) |
(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 (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 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 b c) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b))) |
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #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 #s(literal 3 binary64) (*.f64 a c)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #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)))))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) |
(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 (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 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 b c) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 b c) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a c) (*.f64 b b)) #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 |
| 7 572× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3562 |
| 1 | 1767 | 3539 |
| 2 | 6215 | 3496 |
| 0 | 8264 | 3326 |
| 0 | 59 | 338 |
| 1 | 363 | 338 |
| 2 | 3614 | 334 |
| 0 | 8477 | 315 |
| 0 | 12 | 54 |
| 1 | 63 | 52 |
| 2 | 517 | 52 |
| 3 | 6808 | 52 |
| 0 | 8097 | 48 |
| 0 | 1929 | 15348 |
| 1 | 6463 | 14939 |
| 0 | 8123 | 14467 |
| 0 | 2916 | 22217 |
| 0 | 8493 | 21348 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 213 to 127 computations (40.4% saved)
Compiled 234 to 114 computations (51.3% saved)
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