
Time bar (total: 15.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 21 to 13 computations (38.1% saved)
ival-mult: 41.0ms (44.6% of total)ival-neg: 19.0ms (20.7% of total)ival-sqrt: 10.0ms (10.9% of total)ival-div: 7.0ms (7.6% of total)ival-sub: 6.0ms (6.5% of total)ival-add: 6.0ms (6.5% of total)const: 2.0ms (2.2% of total)backward-pass: 0.0ms (0% of total)| 811.0ms | 830× | 1 | valid |
| 650.0ms | 1912× | 2 | valid |
| 621.0ms | 5514× | 0 | valid |
| 169.0ms | 956× | 0 | invalid |
backward-pass: 667.0ms (37.6% of total)ival-mult: 449.0ms (25.3% of total)ival-div: 177.0ms (10% of total)ival-sqrt: 141.0ms (7.9% of total)ival-sub: 140.0ms (7.9% of total)ival-neg: 94.0ms (5.3% of total)ival-add: 93.0ms (5.2% of total)const: 15.0ms (0.8% of total)| 2× | egg-herbie |
| 2336× | fnmadd-define |
| 1694× | fma-define |
| 1664× | div-sub |
| 1628× | sum5-define |
| 1602× | fmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 165 |
| 1 | 176 | 150 |
| 2 | 517 | 150 |
| 3 | 1427 | 150 |
| 4 | 4581 | 150 |
| 0 | 12 | 16 |
| 1 | 30 | 15 |
| 2 | 69 | 15 |
| 3 | 168 | 15 |
| 4 | 292 | 15 |
| 5 | 521 | 15 |
| 6 | 1034 | 15 |
| 7 | 2217 | 15 |
| 8 | 5226 | 15 |
| 9 | 7778 | 15 |
| 0 | 8194 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 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)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
| 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 (fmsub b b (* a (* 3 c)))) b) (* 3 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a))) |
(* (/ (- b (sqrt (fmsub b b (* a (* c -3))))) a) 1/3) |
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a)) |
(/ (+ b (sqrt (fmsub b b (* a (* 3 c))))) (* 3 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a)) |
(* (/ (- b (sqrt (fmsub b b (* a (* c -3))))) a) -1/3) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a)))) |
(* (/ (- b (sqrt (fmsub b b (* a (* c -3))))) a) -1/3) |
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a))) |
(/ (+ b (sqrt (fmsub b b (* a (* 3 c))))) (* a -3)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a))) |
(* (/ (- b (sqrt (fmsub b b (* a (* c -3))))) a) 1/3) |
(/ (+ (neg a) (sqrt (- (* a a) (* (* 3 b) c)))) (* 3 b)) |
(/ (- (sqrt (fmsub a a (* b (* 3 c)))) a) (* b 3)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 c) a)))) (* 3 c)) |
(/ (- (sqrt (fmsub b b (* a (* 3 c)))) b) (* 3 c)) |
(/ (+ (neg c) (sqrt (- (* c c) (* (* 3 a) b)))) (* 3 a)) |
(/ (- (sqrt (fma b (* a -3) (* c c))) c) (* 3 a)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 107 | 0 | - | 2 | (8.322223429382826e-124 1.591285193339241e-251 -1.7113347701631e-190) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 57 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 14 | 0 | - | 1 | (9.465228646450057e-263 1.3850507727207745e+207 6.236198550485142e+149) | (/.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)) |
| 6 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | a |
| 70.0ms | 358× | 0 | valid |
| 38.0ms | 100× | 2 | valid |
| 12.0ms | 54× | 1 | valid |
Compiled 160 to 38 computations (76.3% saved)
ival-div: 18.0ms (30% of total)ival-mult: 18.0ms (30% of total)ival-sqrt: 6.0ms (10% of total)backward-pass: 5.0ms (8.3% of total)ival-neg: 4.0ms (6.7% of total)ival-sub: 4.0ms (6.7% of total)ival-add: 4.0ms (6.7% of total)const: 1.0ms (1.7% of total)Compiled 19 to 13 computations (31.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.2% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
| ▶ | 53.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 39 to 25 computations (35.9% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| ✓ | cost-diff | 64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| ✓ | cost-diff | 64 | (/.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)) |
| 2488× | fnmadd-define |
| 1478× | fnmsub-define |
| 1360× | fma-define |
| 1348× | fmm-def |
| 1328× | fmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 126 |
| 1 | 48 | 122 |
| 2 | 108 | 122 |
| 3 | 205 | 122 |
| 4 | 343 | 122 |
| 5 | 586 | 122 |
| 6 | 1144 | 122 |
| 7 | 2351 | 122 |
| 8 | 5045 | 122 |
| 9 | 7110 | 122 |
| 0 | 8229 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 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 |
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) (* 3 a)) |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(+ (* b b) (* a (* c -3))) |
(* b b) |
b |
(* a (* c -3)) |
a |
(* c -3) |
c |
-3 |
(* 3 a) |
3 |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
b |
(sqrt (- (* b b) (* (* 3 a) c))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(- (* b b) (* (* 3 a) c)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(* b b) |
(*.f64 b b) |
(* (* 3 a) c) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(* 3 a) |
(*.f64 #s(literal 3 binary64) a) |
3 |
#s(literal 3 binary64) |
a |
c |
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) (* 3 a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(+ (* b b) (* a (* c -3))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -3)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
a |
(* c -3) |
(*.f64 c #s(literal -3 binary64)) |
c |
-3 |
#s(literal -3 binary64) |
(* 3 a) |
(*.f64 #s(literal 3 binary64) a) |
3 |
#s(literal 3 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.1% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
| ✓ | accuracy | 94.5% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 80.5% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
| ✓ | accuracy | 61.3% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
| ✓ | accuracy | 98.1% | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| ✓ | accuracy | 94.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 80.5% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| ✓ | accuracy | 61.3% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 85.0ms | 50× | 2 | valid |
| 48.0ms | 179× | 0 | valid |
| 10.0ms | 27× | 1 | valid |
Compiled 136 to 20 computations (85.3% saved)
ival-sqrt: 21.0ms (38.5% of total)ival-mult: 13.0ms (23.9% of total)ival-div: 5.0ms (9.2% of total)ival-sub: 4.0ms (7.3% of total)backward-pass: 4.0ms (7.3% of total)ival-add: 4.0ms (7.3% of total)ival-neg: 2.0ms (3.7% of total)const: 1.0ms (1.8% of total)| Inputs |
|---|
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))> |
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))> |
#<alt (sqrt (- (* b b) (* (* 3 a) c)))> |
#<alt (- (* b b) (* (* 3 a) c))> |
#<alt (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) (* 3 a))> |
#<alt (- (sqrt (+ (* b b) (* a (* c -3)))) b)> |
#<alt (sqrt (+ (* b b) (* a (* c -3))))> |
#<alt (+ (* b b) (* a (* c -3)))> |
| Outputs |
|---|
#<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 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 (* (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 (- (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 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 (* (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)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 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 (+ (* -3 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))> |
#<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 (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* -3 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | a | @ | -inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 2.0ms | c | @ | -inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 1.0ms | b | @ | inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 1.0ms | a | @ | inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 1.0ms | b | @ | 0 | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 1× | batch-egg-rewrite |
| 2588× | /-lowering-/.f32 |
| 2588× | /-lowering-/.f64 |
| 2512× | *-lowering-*.f32 |
| 2512× | *-lowering-*.f64 |
| 1756× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 90 |
| 1 | 117 | 86 |
| 2 | 1089 | 86 |
| 0 | 8763 | 86 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
(sqrt (- (* b b) (* (* 3 a) c))) |
(- (* b b) (* (* 3 a) c)) |
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) (* 3 a)) |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(+ (* b b) (* a (* c -3))) |
| Outputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) |
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (/.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) a))) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) b) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) a)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 #s(literal 3 binary64) a) b))))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 #s(literal 3 binary64) a) b)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (/.f64 (/.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) |
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(exp.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)))) |
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(fma.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) |
(fma.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) |
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(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 a c)) (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) #s(literal 3 binary64))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (*.f64 (*.f64 b b) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 (+.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (+.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (-.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))) |
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) |
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (-.f64 (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))))) |
(*.f64 (-.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 6018× | *-lowering-*.f32 |
| 6018× | *-lowering-*.f64 |
| 2330× | +-lowering-+.f64 |
| 2330× | +-lowering-+.f32 |
| 1524× | sum3-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 570 | 6482 |
| 1 | 1949 | 6398 |
| 2 | 7332 | 6398 |
| 0 | 8058 | 6398 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 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)))))) |
(* (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)) |
(- (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 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)))))) |
(* (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)) (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 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)))) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1/3 binary64) 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))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64)))))) (/.f64 #s(literal -1/3 binary64) a)))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) 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) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b)) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))))) 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) |
(/.f64 (+.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) (+.f64 (*.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))))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))))) b) |
(* -2/3 (/ b a)) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.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)))))) |
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (*.f64 #s(literal 1/6 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)))))) |
(+ (* -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)))))) |
(+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (*.f64 #s(literal 1/6 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 -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal 1/3 binary64) b)) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c)))) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))) a)) a)) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b))))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (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))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.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 #s(literal -1/2 binary64) b))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
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b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))))) |
(* 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))))))) |
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(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))))) |
(* -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)))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
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(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
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(* 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))))) |
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(* 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)))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 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))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal -1/8 binary64))))) (neg.f64 a)) |
(* -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)))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal -1/8 binary64))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.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)))) (neg.f64 a)) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 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)))))))) |
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (sqrt.f64 #s(literal -3 binary64))))) |
(* 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 (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -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 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (*.f64 c a)))) |
(* -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 (+.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 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 (+.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (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 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 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))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))) (neg.f64 c)) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(- (pow b 2) (* 3 (* a c))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(- (pow b 2) (* 3 (* a c))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(- (pow b 2) (* 3 (* a c))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -3 binary64)))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
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b |
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b |
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(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) #s(literal 1/2 binary64))))) |
(* 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))))) |
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))))) |
(* 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)))))) |
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 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))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal -1/8 binary64))))) (neg.f64 a)) |
(* -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)))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal -1/8 binary64))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.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)))) (neg.f64 a)) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 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)))))))) |
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (sqrt.f64 #s(literal -3 binary64))))) |
(* 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 (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -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 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (*.f64 c a)))) |
(* -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 (+.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 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 (+.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (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 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 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))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))) (neg.f64 c)) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -3 binary64)))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -3 binary64)))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -3 binary64)))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3 binary64)))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3 binary64)))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3 binary64)))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
Compiled 43306 to 2552 computations (94.1% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1020 | 22 | 1042 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1022 | 22 | 1044 |
| Status | Accuracy | Program |
|---|---|---|
| 30.2% | (/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.2% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64)) | |
| 53.2% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a) | |
| 23.1% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 53.2% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
| ▶ | 9.5% | (/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a)) |
| 7.7% | (/.f64 (-.f64 (+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 52.5% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64))) | |
| ▶ | 35.1% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
| 27.0% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 48.5% | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 20.6% | (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b)) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))))) b) | |
| 32.4% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) | |
| ▶ | 35.6% | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| 35.6% | (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) | |
| 19.5% | (/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a))) | |
| 53.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) | |
| ▶ | 53.2% | (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| 35.4% | (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) | |
| 31.2% | (*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b))))) | |
| 23.3% | (*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (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))) |
Compiled 912 to 598 computations (34.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) a) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
| ✓ | cost-diff | 0 | (*.f64 c (*.f64 a #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) |
| ✓ | cost-diff | 0 | (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) |
| ✓ | cost-diff | 256 | (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) |
| ✓ | cost-diff | 512 | (/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 0 | (*.f64 b #s(literal -2/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| 1786× | *-lowering-*.f32 |
| 1786× | *-lowering-*.f64 |
| 1282× | fma-lowering-fma.f32 |
| 1282× | fma-define |
| 1282× | fma-lowering-fma.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 258 |
| 1 | 85 | 251 |
| 2 | 187 | 245 |
| 3 | 419 | 242 |
| 4 | 1043 | 240 |
| 5 | 3295 | 238 |
| 0 | 8147 | 238 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3))) |
(- b (sqrt (+ (* b b) (* a (* c -3))))) |
b |
(sqrt (+ (* b b) (* a (* c -3)))) |
(+ (* b b) (* a (* c -3))) |
(* b b) |
(* a (* c -3)) |
a |
(* c -3) |
c |
-3 |
(/ 1 (* a -3)) |
1 |
(* a -3) |
(/ (* b -2/3) a) |
(* b -2/3) |
b |
-2/3 |
a |
(/ (- (+ b (/ (* c (* a -3/2)) b)) b) (* 3 a)) |
(- (+ b (/ (* c (* a -3/2)) b)) b) |
(+ b (/ (* c (* a -3/2)) b)) |
b |
(/ (* c (* a -3/2)) b) |
(* c (* a -3/2)) |
c |
(* a -3/2) |
a |
-3/2 |
(* 3 a) |
3 |
(/ (- (sqrt (* c (* a -3))) b) (* 3 a)) |
(- (sqrt (* c (* a -3))) b) |
(sqrt (* c (* a -3))) |
(* c (* a -3)) |
c |
(* a -3) |
a |
-3 |
b |
(* 3 a) |
3 |
(/ (/ 1/3 a) (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) |
(/ 1/3 a) |
1/3 |
a |
(/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
1 |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(+ (* b b) (* a (* c -3))) |
(* b b) |
b |
(* a (* c -3)) |
(* c -3) |
c |
-3 |
| Outputs |
|---|
(* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3))) |
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64))) |
(- b (sqrt (+ (* b b) (* a (* c -3))))) |
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))) |
b |
(sqrt (+ (* b b) (* a (* c -3)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(+ (* b b) (* a (* c -3))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(* b b) |
(*.f64 b b) |
(* a (* c -3)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
a |
(* c -3) |
(*.f64 c #s(literal -3 binary64)) |
c |
-3 |
#s(literal -3 binary64) |
(/ 1 (* a -3)) |
(/.f64 #s(literal -1/3 binary64) a) |
1 |
#s(literal 1 binary64) |
(* a -3) |
(*.f64 a #s(literal -3 binary64)) |
(/ (* b -2/3) a) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(* b -2/3) |
(*.f64 b #s(literal -2/3 binary64)) |
b |
-2/3 |
#s(literal -2/3 binary64) |
a |
(/ (- (+ b (/ (* c (* a -3/2)) b)) b) (* 3 a)) |
(/.f64 (*.f64 c #s(literal -3/2 binary64)) (*.f64 b #s(literal 3 binary64))) |
(- (+ b (/ (* c (* a -3/2)) b)) b) |
(*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) |
(+ b (/ (* c (* a -3/2)) b)) |
(-.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 3/2 binary64))) |
b |
(/ (* c (* a -3/2)) b) |
(*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) |
(* c (* a -3/2)) |
(*.f64 a (*.f64 c #s(literal -3/2 binary64))) |
c |
(* a -3/2) |
(*.f64 a #s(literal -3/2 binary64)) |
a |
-3/2 |
#s(literal -3/2 binary64) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(/ (- (sqrt (* c (* a -3))) b) (* 3 a)) |
(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 a #s(literal -3 binary64))) |
(- (sqrt (* c (* a -3))) b) |
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) |
(sqrt (* c (* a -3))) |
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(* c (* a -3)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
c |
(* a -3) |
(*.f64 a #s(literal -3 binary64)) |
a |
-3 |
#s(literal -3 binary64) |
b |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(/ (/ 1/3 a) (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) |
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64))) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
1/3 |
#s(literal 1/3 binary64) |
a |
(/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)) |
1 |
#s(literal 1 binary64) |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(+ (* b b) (* a (* c -3))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -3)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* c -3) |
(*.f64 c #s(literal -3 binary64)) |
c |
-3 |
#s(literal -3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/3 binary64) a) |
| ✓ | accuracy | 96.4% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
| ✓ | accuracy | 91.9% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
| ✓ | accuracy | 80.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3 binary64) a) |
| ✓ | accuracy | 99.9% | (*.f64 c (*.f64 a #s(literal -3 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 81.9% | (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 c (*.f64 a #s(literal -3/2 binary64))) |
| ✓ | accuracy | 94.0% | (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) |
| ✓ | accuracy | 87.1% | (/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 84.1% | (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| ✓ | accuracy | 99.7% | (*.f64 b #s(literal -2/3 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) |
| ✓ | accuracy | 96.4% | (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| ✓ | accuracy | 91.9% | (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
| ✓ | accuracy | 80.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
| 63.0ms | 37× | 2 | valid |
| 51.0ms | 89× | 0 | invalid |
| 47.0ms | 36× | 1 | valid |
| 39.0ms | 93× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 271 to 36 computations (86.7% saved)
ival-mult: 23.0ms (28.5% of total)ival-div: 17.0ms (21.1% of total)ival-sub: 13.0ms (16.1% of total)...c/correct-round.rkt:119:19: 10.0ms (12.4% of total)backward-pass: 7.0ms (8.7% of total)ival-sqrt: 5.0ms (6.2% of total)ival-add: 3.0ms (3.7% of total)const: 1.0ms (1.2% of total)| Inputs |
|---|
#<alt (* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3)))> |
#<alt (/ 1 (* a -3))> |
#<alt (- b (sqrt (+ (* b b) (* a (* c -3)))))> |
#<alt (sqrt (+ (* b b) (* a (* c -3))))> |
#<alt (/ (* b -2/3) a)> |
#<alt (* b -2/3)> |
#<alt (/ (- (+ b (/ (* c (* a -3/2)) b)) b) (* 3 a))> |
#<alt (- (+ b (/ (* c (* a -3/2)) b)) b)> |
#<alt (+ b (/ (* c (* a -3/2)) b))> |
#<alt (/ (* c (* a -3/2)) b)> |
#<alt (/ (- (sqrt (* c (* a -3))) b) (* 3 a))> |
#<alt (- (sqrt (* c (* a -3))) b)> |
#<alt (sqrt (* c (* a -3)))> |
#<alt (* c (* a -3))> |
#<alt (/ (/ 1/3 a) (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b)))> |
#<alt (/ 1/3 a)> |
#<alt (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b))> |
#<alt (- (sqrt (+ (* b b) (* a (* c -3)))) b)> |
#<alt (* c (* a -3/2))> |
#<alt (* 3 a)> |
| Outputs |
|---|
#<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 (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<alt (/ -1/3 a)> |
#<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)> |
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#<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 (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* -3/2 (* a c))> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
#<alt (* 3 a)> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | b | @ | inf | (/ (- (sqrt (* c (* a -3))) b) (* 3 a)) |
| 10.0ms | c | @ | -inf | (* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3))) |
| 2.0ms | c | @ | 0 | (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
| 2.0ms | c | @ | 0 | (* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3))) |
| 1.0ms | a | @ | -inf | (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
| 1× | batch-egg-rewrite |
| 3266× | /-lowering-/.f32 |
| 3266× | /-lowering-/.f64 |
| 2802× | *-lowering-*.f32 |
| 2802× | *-lowering-*.f64 |
| 1710× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 170 |
| 1 | 206 | 165 |
| 2 | 1860 | 159 |
| 0 | 8199 | 159 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3))) |
(/ 1 (* a -3)) |
(- b (sqrt (+ (* b b) (* a (* c -3))))) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(/ (* b -2/3) a) |
(* b -2/3) |
(/ (- (+ b (/ (* c (* a -3/2)) b)) b) (* 3 a)) |
(- (+ b (/ (* c (* a -3/2)) b)) b) |
(+ b (/ (* c (* a -3/2)) b)) |
(/ (* c (* a -3/2)) b) |
(/ (- (sqrt (* c (* a -3))) b) (* 3 a)) |
(- (sqrt (* c (* a -3))) b) |
(sqrt (* c (* a -3))) |
(* c (* a -3)) |
(/ (/ 1/3 a) (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) |
(/ 1/3 a) |
(/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(* c (* a -3/2)) |
(* 3 a) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) b) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(+.f64 (*.f64 b (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal -1/3 binary64) a))) |
(-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal -1/3 binary64) a))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (/.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) #s(literal -3 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)))) (*.f64 #s(literal -3 binary64) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (neg.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) #s(literal -3 binary64)) a) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) #s(literal -1 binary64)) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal -1/3 binary64) a)) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 #s(literal -1/3 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) #s(literal -3 binary64)) |
(/.f64 (-.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (/.f64 a #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64))))) |
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(exp.f64 (log.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 2 binary64))) |
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(sqrt.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64))) |
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(pow.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 2 binary64)) |
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(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) |
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(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (-.f64 #s(literal 0 binary64) b)))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) (neg.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)))) (neg.f64 (neg.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) |
(pow.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))) |
(*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) |
(*.f64 a (*.f64 #s(literal -3/2 binary64) c)) |
(*.f64 c (*.f64 a #s(literal -3/2 binary64))) |
(*.f64 #s(literal -3/2 binary64) (*.f64 a c)) |
(*.f64 (*.f64 a #s(literal -3/2 binary64)) c) |
(*.f64 (*.f64 a c) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 c #s(literal -3/2 binary64)) a) |
(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 a #s(literal -1/3 binary64))) |
(neg.f64 (*.f64 a #s(literal -3 binary64))) |
(/.f64 a #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) |
(/.f64 (*.f64 a #s(literal -3 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64)) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) a)) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 #s(literal -1 binary64) (*.f64 a #s(literal -3 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -3 binary64)) |
| 1× | egg-herbie |
| 6330× | *-lowering-*.f32 |
| 6330× | *-lowering-*.f64 |
| 4416× | +-lowering-+.f64 |
| 4416× | +-lowering-+.f32 |
| 1420× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1008 | 8693 |
| 1 | 3591 | 8551 |
| 0 | 8260 | 8551 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))))))) |
(/ -1/3 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 (* (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)))))) |
(* (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)))))))) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 b) |
(* -2/3 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 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)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (pow b 2)) b) |
(/ (+ (* -3/2 (* a c)) (pow b 2)) b) |
(/ (+ (* -3/2 (* a c)) (pow b 2)) b) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
b |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* -3/2 (/ (* a c) b))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (/ b c))) |
(* c (+ (* -3/2 (/ a b)) (/ b c))) |
(* c (+ (* -3/2 (/ a b)) (/ b c))) |
(* -3/2 (/ (* a c) b)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* -3/2 (/ (* a c) b))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (/ b a))) |
(* a (+ (* -3/2 (/ c b)) (/ b a))) |
(* a (+ (* -3/2 (/ c b)) (/ b a))) |
(* -3/2 (/ (* a c) b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 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))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 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 (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (* 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))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(* -1/3 (/ b a)) |
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))) |
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))) |
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))) |
(* -1/3 (/ b a)) |
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(- (* (sqrt (* a c)) (sqrt -3)) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -3) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -3) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -3) b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (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)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ 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) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (/ b (* a (* c (pow (sqrt -3) 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)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (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)))) |
(* -2/3 (/ b (* a c))) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c))))) |
(* b (- (+ (* -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) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 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))))) b)) |
(* -2/3 (/ b (* a c))) |
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a)) |
(* -2/3 (/ b (* a c))) |
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (/ b (* a (pow (sqrt 3) 2)))) c)) |
(* -1 (/ (+ (* -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))))) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (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 (* (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)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* (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)))))) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
(* 3 a) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal -1/3 binary64) 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))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (sqrt.f64 #s(literal -3 binary64)))))) (/.f64 #s(literal -1/3 binary64) a)))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) 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) |
(/.f64 (+.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) 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) |
(/.f64 (+.f64 (+.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) b) |
(* -2/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (+.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
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(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
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(* -1 (* (sqrt (* a c)) (sqrt -3))) |
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(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
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(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* -1 b) |
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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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b |
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(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(*.f64 c (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 c (-.f64 (/.f64 b (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))))) (neg.f64 c)) b) c)) (neg.f64 c)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
Compiled 38083 to 3746 computations (90.2% saved)
44 alts after pruning (40 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1420 | 32 | 1452 |
| Fresh | 9 | 8 | 17 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1430 | 44 | 1474 |
| Status | Accuracy | Program |
|---|---|---|
| 20.8% | (fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64))))) | |
| 23.0% | (fma.f64 (/.f64 (sqrt.f64 c) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64))))) | |
| 53.1% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) | |
| ▶ | 53.2% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a) |
| 35.0% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64)) | |
| 23.1% | (/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 23.1% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 25.5% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) | |
| 23.6% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c)) | |
| 27.8% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) | |
| ▶ | 23.0% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
| ✓ | 53.2% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
| 23.4% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a))))) | |
| 23.0% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)))) | |
| 9.5% | (/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 9.5% | (/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64))) | |
| 9.9% | (/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 23.0% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 6.3% | (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) | |
| 4.3% | (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64)))) | |
| 4.7% | (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a)) | |
| 3.9% | (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a)) | |
| ▶ | 9.4% | (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
| 19.0% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 23.5% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 a #s(literal -3 binary64)))) | |
| ✓ | 35.1% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
| 27.0% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 20.6% | (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b)) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))))) b) | |
| 32.4% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) | |
| ✓ | 35.6% | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| 35.6% | (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 53.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a) |
| 35.6% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a))) | |
| 35.6% | (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) | |
| 35.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64))) | |
| 35.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) | |
| 35.0% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) | |
| 9.5% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b))) | |
| ▶ | 35.6% | (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
| ✓ | 53.2% | (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| 34.9% | (*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) | |
| 35.4% | (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) | |
| 35.6% | (*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
Compiled 1591 to 1070 computations (32.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | cost-diff | 384 | (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) a) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) |
| ✓ | cost-diff | 512 | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2/3 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a) |
| 2938× | *-lowering-*.f32 |
| 2938× | *-lowering-*.f64 |
| 1840× | fnmadd-define |
| 1728× | sum5-define |
| 1304× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 290 |
| 1 | 96 | 288 |
| 2 | 252 | 286 |
| 3 | 900 | 275 |
| 4 | 4635 | 275 |
| 0 | 8292 | 275 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) a) |
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(+ (* b b) (* a (* c -3))) |
(* b b) |
b |
(* a (* c -3)) |
a |
(* c -3) |
c |
-3 |
3 |
(* (/ -2/3 a) b) |
(/ -2/3 a) |
-2/3 |
a |
b |
(/ (/ 1/3 a) (/ 1 (/ (* (* c a) -3/2) b))) |
(/ 1/3 a) |
1/3 |
a |
(/ 1 (/ (* (* c a) -3/2) b)) |
1 |
(/ (* (* c a) -3/2) b) |
(* (* c a) -3/2) |
(* c a) |
c |
-3/2 |
b |
(/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a)) |
(- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) |
(* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) |
(+ (* 3/2 (* a (/ c (* b b)))) -1) |
(* 3/2 (* a (/ c (* b b)))) |
3/2 |
(* a (/ c (* b b))) |
a |
(/ c (* b b)) |
c |
(* b b) |
b |
-1 |
(- 0 b) |
0 |
(* 3 a) |
3 |
(/ (* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) a) |
(* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
1/3 |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(+ (* b b) (* a (* c -3))) |
(* b b) |
b |
(* a (* c -3)) |
a |
(* c -3) |
c |
-3 |
| Outputs |
|---|
(/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) a) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) (*.f64 a #s(literal 3 binary64))) |
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64)) |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(+ (* b b) (* a (* c -3))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -3)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
a |
(* c -3) |
(*.f64 c #s(literal -3 binary64)) |
c |
-3 |
#s(literal -3 binary64) |
3 |
#s(literal 3 binary64) |
(* (/ -2/3 a) b) |
(/.f64 b (*.f64 a #s(literal -3/2 binary64))) |
(/ -2/3 a) |
(/.f64 #s(literal -2/3 binary64) a) |
-2/3 |
#s(literal -2/3 binary64) |
a |
b |
(/ (/ 1/3 a) (/ 1 (/ (* (* c a) -3/2) b))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
1/3 |
#s(literal 1/3 binary64) |
a |
(/ 1 (/ (* (* c a) -3/2) b)) |
(/.f64 b (*.f64 a (*.f64 c #s(literal -3/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(/ (* (* c a) -3/2) b) |
(*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b))) |
(* (* c a) -3/2) |
(*.f64 a (*.f64 c #s(literal -3/2 binary64))) |
(* c a) |
(*.f64 a c) |
c |
-3/2 |
#s(literal -3/2 binary64) |
b |
(/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a)) |
(/.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 b #s(literal -3/2 binary64)))) b) b) (*.f64 a #s(literal 3 binary64))) |
(- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) |
(/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 b #s(literal -3/2 binary64)))) b) b) |
(* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -3/2 binary64)))) |
(+ (* 3/2 (* a (/ c (* b b)))) -1) |
(+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 3/2 binary64))) (*.f64 b b)) #s(literal -1 binary64)) |
(* 3/2 (* a (/ c (* b b)))) |
(/.f64 (*.f64 a (*.f64 c #s(literal 3/2 binary64))) (*.f64 b b)) |
3/2 |
#s(literal 3/2 binary64) |
(* a (/ c (* b b))) |
(/.f64 (*.f64 a c) (*.f64 b b)) |
a |
(/ c (* b b)) |
(/.f64 c (*.f64 b b)) |
c |
(* b b) |
(*.f64 b b) |
b |
-1 |
#s(literal -1 binary64) |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
0 |
#s(literal 0 binary64) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(/ (* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) a) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) |
(+ (* b b) (* a (* c -3))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -3)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
a |
(* c -3) |
(*.f64 c #s(literal -3 binary64)) |
c |
-3 |
#s(literal -3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.1% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
| ✓ | accuracy | 94.6% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a) |
| ✓ | accuracy | 80.5% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
| ✓ | accuracy | 61.3% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
| ✓ | accuracy | 89.6% | (*.f64 a (/.f64 c (*.f64 b b))) |
| ✓ | accuracy | 86.9% | (/.f64 c (*.f64 b b)) |
| ✓ | accuracy | 83.0% | (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | accuracy | 60.6% | (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) a) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) |
| ✓ | accuracy | 90.2% | (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
| ✓ | accuracy | 83.4% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal -2/3 binary64) a) |
| ✓ | accuracy | 98.1% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
| ✓ | accuracy | 94.6% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a) |
| ✓ | accuracy | 80.5% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
| ✓ | accuracy | 61.3% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
| 492.0ms | 94× | 0 | valid |
| 88.0ms | 77× | 2 | valid |
| 83.0ms | 85× | 1 | valid |
Compiled 316 to 40 computations (87.3% saved)
ival-mult: 467.0ms (85.7% of total)ival-div: 32.0ms (5.9% of total)backward-pass: 15.0ms (2.8% of total)...c/correct-round.rkt:119:19: 12.0ms (2.2% of total)ival-sub: 7.0ms (1.3% of total)ival-add: 5.0ms (0.9% of total)ival-sqrt: 4.0ms (0.7% of total)const: 2.0ms (0.4% of total)| Inputs |
|---|
#<alt (/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) a)> |
#<alt (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3)> |
#<alt (- (sqrt (+ (* b b) (* a (* c -3)))) b)> |
#<alt (sqrt (+ (* b b) (* a (* c -3))))> |
#<alt (* (/ -2/3 a) b)> |
#<alt (/ -2/3 a)> |
#<alt (/ (/ 1/3 a) (/ 1 (/ (* (* c a) -3/2) b)))> |
#<alt (/ 1 (/ (* (* c a) -3/2) b))> |
#<alt (/ 1/3 a)> |
#<alt (/ (* (* c a) -3/2) b)> |
#<alt (/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a))> |
#<alt (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b)> |
#<alt (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b))> |
#<alt (+ (* 3/2 (* a (/ c (* b b)))) -1)> |
#<alt (/ (* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) a)> |
#<alt (* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))> |
#<alt (+ (* b b) (* a (* c -3)))> |
#<alt (/ c (* b b))> |
#<alt (* a (/ c (* b b)))> |
| Outputs |
|---|
#<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 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))> |
#<alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))> |
#<alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))> |
#<alt (* -1/2 (/ (* a c) b))> |
#<alt (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2/3 b)> |
#<alt (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -1/2 (/ (* a c) b))> |
#<alt (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -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 (* a c)) (sqrt -3)))> |
#<alt (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))> |
#<alt (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))> |
#<alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1/2 (/ (* a c) b))> |
#<alt (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* 1/3 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))> |
#<alt (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))> |
#<alt (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))> |
#<alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))> |
#<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))))> |
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#<alt (* -1 (* c (+ (* -3/2 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -1 (* c (+ (* -3/2 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -1 (* c (+ (* -3/2 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* 3/2 (/ (* a c) (pow b 2)))> |
#<alt (/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2))> |
#<alt (/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2))> |
#<alt (/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2))> |
#<alt -1> |
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)> |
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)> |
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)> |
#<alt -1> |
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)> |
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)> |
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)> |
#<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 (* 1/3 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))> |
#<alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))> |
#<alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))> |
#<alt (* -1/2 (/ (* a c) b))> |
#<alt (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2/3 b)> |
#<alt (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -1/2 (/ (* a c) b))> |
#<alt (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -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 (* a c)) (sqrt -3)))> |
#<alt (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))> |
#<alt (* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))> |
#<alt (* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))> |
#<alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1/2 (/ (* a c) b))> |
#<alt (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* 1/3 (* (sqrt (* a c)) (sqrt -3)))> |
#<alt (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))> |
#<alt (* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))> |
#<alt (* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))> |
#<alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))> |
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))> |
#<alt (* -3 (* a c))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 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 (+ (* -3 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))> |
#<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 (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* -3 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | a | @ | 0 | (/ 1 (/ (* (* c a) -3/2) b)) |
| 2.0ms | a | @ | 0 | (/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a)) |
| 2.0ms | a | @ | inf | (/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a)) |
| 2.0ms | c | @ | 0 | (/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a)) |
| 2.0ms | b | @ | 0 | (/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a)) |
| 1× | batch-egg-rewrite |
| 3628× | *-lowering-*.f32 |
| 3628× | *-lowering-*.f64 |
| 3470× | /-lowering-/.f32 |
| 3470× | /-lowering-/.f64 |
| 1742× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 189 |
| 1 | 219 | 187 |
| 2 | 1699 | 185 |
| 0 | 8404 | 185 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) a) |
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(* (/ -2/3 a) b) |
(/ -2/3 a) |
(/ (/ 1/3 a) (/ 1 (/ (* (* c a) -3/2) b))) |
(/ 1 (/ (* (* c a) -3/2) b)) |
(/ 1/3 a) |
(/ (* (* c a) -3/2) b) |
(/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a)) |
(- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) |
(* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) |
(+ (* 3/2 (* a (/ c (* b b)))) -1) |
(/ (* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) a) |
(* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
(+ (* b b) (* a (* c -3))) |
(/ c (* b b)) |
(* a (/ c (* b b))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 b (/.f64 a #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) a) (/.f64 b (/.f64 a #s(literal 1/3 binary64)))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -3 binary64)) a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) a)) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 a c))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 b b) c))) |
(/.f64 (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 a (/.f64 c b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) a)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 c b) a)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 a c) b)) (-.f64 #s(literal 0 binary64) b)) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal -1 binary64)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) a)) |
(*.f64 c (/.f64 a (*.f64 b b))) |
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 c (*.f64 b b)) a) |
(*.f64 (/.f64 c b) (/.f64 a b)) |
(*.f64 (/.f64 a b) (/.f64 c b)) |
| 1× | egg-herbie |
| 7780× | *-lowering-*.f32 |
| 7780× | *-lowering-*.f64 |
| 4100× | +-lowering-+.f64 |
| 4100× | +-lowering-+.f32 |
| 1834× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 723 | 8471 |
| 1 | 2547 | 8381 |
| 0 | 8438 | 8381 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(* -1/2 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ 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 (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ (* a c) b)) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* (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)))))) |
(* (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)))))))) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(/ -2/3 a) |
(/ -2/3 a) |
(/ -2/3 a) |
(/ -2/3 a) |
(/ -2/3 a) |
(/ -2/3 a) |
(/ -2/3 a) |
(/ -2/3 a) |
(/ -2/3 a) |
(/ -2/3 a) |
(/ -2/3 a) |
(/ -2/3 a) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
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(* -1/2 (/ c b)) |
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(* -1/2 (/ c b)) |
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(* -1/2 (/ c b)) |
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(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a 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 b)) |
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(* -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)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* -3/2 (/ (* a c) b))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (/ b a))) |
(* a (+ (* -3/2 (/ c b)) (/ b a))) |
(* a (+ (* -3/2 (/ c b)) (/ b a))) |
(* -3/2 (/ (* a c) b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* -3/2 (/ (* a c) b))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (/ b c))) |
(* c (+ (* -3/2 (/ a b)) (/ b c))) |
(* c (+ (* -3/2 (/ a b)) (/ b c))) |
(* -3/2 (/ (* a c) b)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b))))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (pow b 2)) b) |
(/ (+ (* -3/2 (* a c)) (pow b 2)) b) |
(/ (+ (* -3/2 (* a c)) (pow b 2)) b) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
b |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1))) |
-1 |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
(* 3/2 (/ (* a c) (pow b 2))) |
(* a (- (* 3/2 (/ c (pow b 2))) (/ 1 a))) |
(* a (- (* 3/2 (/ c (pow b 2))) (/ 1 a))) |
(* a (- (* 3/2 (/ c (pow b 2))) (/ 1 a))) |
(* 3/2 (/ (* a c) (pow b 2))) |
(* -1 (* a (+ (* -3/2 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* a (+ (* -3/2 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* a (+ (* -3/2 (/ c (pow b 2))) (/ 1 a)))) |
-1 |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
(* 3/2 (/ (* a c) (pow b 2))) |
(* c (- (* 3/2 (/ a (pow b 2))) (/ 1 c))) |
(* c (- (* 3/2 (/ a (pow b 2))) (/ 1 c))) |
(* c (- (* 3/2 (/ a (pow b 2))) (/ 1 c))) |
(* 3/2 (/ (* a c) (pow b 2))) |
(* -1 (* c (+ (* -3/2 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* c (+ (* -3/2 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* c (+ (* -3/2 (/ a (pow b 2))) (/ 1 c)))) |
(* 3/2 (/ (* a c) (pow b 2))) |
(/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2)) |
(/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2)) |
(/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2)) |
-1 |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
-1 |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
(- (* 3/2 (/ (* a c) (pow b 2))) 1) |
(* 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))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(* -1/2 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ 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 (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ (* a c) b)) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -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 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)))) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/3 binary64) 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))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64)))))) (/.f64 #s(literal -1/3 binary64) a)))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) 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) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))))) 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) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (*.f64 (/.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64)))))) b) |
(* -2/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) 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)))))) |
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.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)))))) |
(+ (* -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))))))) |
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a))) b)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/24 binary64))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.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))))) a)) a)) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.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 (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 a b)))))) (/.f64 #s(literal -1/2 binary64) b))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 b a) c)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 b a) c)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/24 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 b a) c))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c #s(literal 1/3 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (/.f64 (/.f64 b a) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a)))))) (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))))) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
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b |
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(* (sqrt (* a c)) (sqrt -3)) |
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(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) |
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(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
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(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(pow b 2) |
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(pow b 2) |
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(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3 binary64))))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -3 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -3 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -3 binary64)) (/.f64 (*.f64 b b) a))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (*.f64 b b) c))) |
(* -3 (* a c)) |
(*.f64 c (*.f64 a #s(literal -3 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
Compiled 72032 to 5531 computations (92.3% saved)
58 alts after pruning (52 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1955 | 26 | 1981 |
| Fresh | 9 | 26 | 35 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1967 | 58 | 2025 |
| Status | Accuracy | Program |
|---|---|---|
| 20.8% | (fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64))))) | |
| 23.0% | (fma.f64 (/.f64 (sqrt.f64 c) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64))))) | |
| 53.1% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) | |
| 27.1% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a) | |
| 35.0% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64)) | |
| 35.6% | (/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a) | |
| 23.2% | (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a) | |
| 22.9% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) | |
| ▶ | 53.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) a) |
| 23.0% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) | |
| 27.0% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64)))) | |
| 25.5% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) | |
| 23.6% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c)) | |
| 27.8% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) | |
| 24.8% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c)) | |
| ✓ | 53.2% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
| 7.9% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)))) | |
| 27.0% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b))))) | |
| ▶ | 22.9% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))) |
| ▶ | 22.9% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)) |
| 23.4% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a))))) | |
| 7.0% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 9.9% | (/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 23.0% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 8.7% | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 4.3% | (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64)))) | |
| 4.7% | (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a)) | |
| ▶ | 3.9% | (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a)) |
| ✓ | 9.4% | (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
| 19.0% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 23.5% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 a #s(literal -3 binary64)))) | |
| 20.6% | (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b)) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))))) b) | |
| 32.4% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) | |
| ✓ | 35.6% | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| 35.6% | (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) | |
| 23.1% | (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a) | |
| 9.5% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a) | |
| 34.9% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a) | |
| ✓ | 53.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a) |
| 35.0% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a) | |
| 35.6% | (/.f64 b (/.f64 a #s(literal -2/3 binary64))) | |
| 35.6% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) | |
| ▶ | 35.6% | (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
| 35.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64))) | |
| 35.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) | |
| 23.7% | (*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) | |
| 35.0% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) | |
| 23.2% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b)) | |
| ✓ | 35.6% | (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
| ✓ | 53.2% | (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| 34.9% | (*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) | |
| 35.4% | (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) | |
| 25.9% | (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b)) | |
| 25.9% | (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b)) | |
| 35.6% | (*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 18.6% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2/3 binary64))) #s(literal -1 binary64))) b) | |
| 30.5% | (*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b))) | |
| 23.0% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64)))))) |
Compiled 2125 to 1415 computations (33.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64))) |
| ✓ | cost-diff | 384 | (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) |
| ✓ | cost-diff | 1280 | (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a)) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))) |
| ✓ | cost-diff | 512 | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) a) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) a) |
| 5614× | *-lowering-*.f32 |
| 5614× | *-lowering-*.f64 |
| 3510× | /-lowering-/.f32 |
| 3510× | /-lowering-/.f64 |
| 1570× | associate-/r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 412 |
| 1 | 130 | 409 |
| 2 | 495 | 380 |
| 3 | 2935 | 357 |
| 0 | 8444 | 357 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) a) |
(/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) |
1 |
(/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
3 |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(+ (* b b) (* a (* c -3))) |
(* b b) |
b |
(* a (* c -3)) |
a |
(* c -3) |
c |
-3 |
(* (/ b a) -2/3) |
(/ b a) |
b |
a |
-2/3 |
(/ (/ 1/3 a) (* (/ -2/3 (* a c)) b)) |
(/ 1/3 a) |
1/3 |
a |
(* (/ -2/3 (* a c)) b) |
(/ -2/3 (* a c)) |
-2/3 |
(* a c) |
c |
b |
(/ (/ 1/3 a) (/ 1 (* -3/2 (* (* a c) (/ 1 b))))) |
(/ 1/3 a) |
1/3 |
a |
(/ 1 (* -3/2 (* (* a c) (/ 1 b)))) |
1 |
(* -3/2 (* (* a c) (/ 1 b))) |
-3/2 |
(* (* a c) (/ 1 b)) |
(* a c) |
c |
(/ 1 b) |
b |
(/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a)) |
(- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) |
(* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) |
(- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) |
(* b b) |
b |
(/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2)))) |
(/ (* c (* a -3/2)) b) |
(* c (* a -3/2)) |
c |
(* a -3/2) |
a |
-3/2 |
(/ b (* c (* a -3/2))) |
(* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3)) |
(* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) |
(/ a 1/3) |
1/3 |
(- b (/ (* c (* a -3/2)) b)) |
(/ b 3) |
3 |
(* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a) |
| Outputs |
|---|
(/ (/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) a) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
(/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) |
3 |
#s(literal 3 binary64) |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(+ (* b b) (* a (* c -3))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -3)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
a |
(* c -3) |
(*.f64 c #s(literal -3 binary64)) |
c |
-3 |
#s(literal -3 binary64) |
(* (/ b a) -2/3) |
(/.f64 #s(literal -2/3 binary64) (/.f64 a b)) |
(/ b a) |
(/.f64 b a) |
b |
a |
-2/3 |
#s(literal -2/3 binary64) |
(/ (/ 1/3 a) (* (/ -2/3 (* a c)) b)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (/.f64 c b))) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
1/3 |
#s(literal 1/3 binary64) |
a |
(* (/ -2/3 (* a c)) b) |
(/.f64 b (*.f64 (*.f64 a c) #s(literal -3/2 binary64))) |
(/ -2/3 (* a c)) |
(/.f64 #s(literal -2/3 binary64) (*.f64 a c)) |
-2/3 |
#s(literal -2/3 binary64) |
(* a c) |
(*.f64 a c) |
c |
b |
(/ (/ 1/3 a) (/ 1 (* -3/2 (* (* a c) (/ 1 b))))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (/.f64 c b))) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
1/3 |
#s(literal 1/3 binary64) |
a |
(/ 1 (* -3/2 (* (* a c) (/ 1 b)))) |
(/.f64 b (*.f64 (*.f64 a c) #s(literal -3/2 binary64))) |
1 |
#s(literal 1 binary64) |
(* -3/2 (* (* a c) (/ 1 b))) |
(/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
-3/2 |
#s(literal -3/2 binary64) |
(* (* a c) (/ 1 b)) |
(/.f64 (*.f64 a c) b) |
(* a c) |
(*.f64 a c) |
c |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
b |
(/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a)) |
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a c) b)))) (/.f64 (-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64))))) #s(literal 1/3 binary64))) (/.f64 b #s(literal -3 binary64))) a) |
(- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) |
(*.f64 a (-.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a c) b)))) (/.f64 (*.f64 b (-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64)))))) #s(literal 1 binary64)))) |
(* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) |
(*.f64 a (-.f64 (*.f64 b b) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a c) b))))) |
(- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a c) b)))) |
(* b b) |
(*.f64 b b) |
b |
(/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2)))) |
(*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a c) b))) |
(/ (* c (* a -3/2)) b) |
(/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64)))) |
(* c (* a -3/2)) |
(*.f64 (*.f64 a c) #s(literal -3/2 binary64)) |
c |
(* a -3/2) |
(*.f64 a #s(literal -3/2 binary64)) |
a |
-3/2 |
#s(literal -3/2 binary64) |
(/ b (* c (* a -3/2))) |
(/.f64 b (*.f64 (*.f64 a c) #s(literal -3/2 binary64))) |
(* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3)) |
(*.f64 (-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64))))) (*.f64 b a)) |
(* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) |
(*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64)))))) |
(/ a 1/3) |
(/.f64 a #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(- b (/ (* c (* a -3/2)) b)) |
(-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64))))) |
(/ b 3) |
(/.f64 b #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a) |
(*.f64 (-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64))))) (/.f64 (*.f64 a a) #s(literal 1/3 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 92.9% | (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) |
| ✓ | accuracy | 92.9% | (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))) |
| ✓ | accuracy | 65.3% | (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) |
| ✓ | accuracy | 62.1% | (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/3 binary64) a) |
| ✓ | accuracy | 92.9% | (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | accuracy | 89.4% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/3 binary64) a) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) |
| ✓ | accuracy | 93.1% | (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b) |
| ✓ | accuracy | 89.4% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
| ✓ | accuracy | 98.7% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
| ✓ | accuracy | 97.3% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) a) |
| ✓ | accuracy | 86.6% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
| ✓ | accuracy | 73.5% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
| 315.0ms | 86× | 5 | exit |
| 83.0ms | 57× | 2 | valid |
| 51.0ms | 22× | 3 | valid |
| 50.0ms | 66× | 0 | valid |
| 43.0ms | 25× | 1 | valid |
Compiled 442 to 46 computations (89.6% saved)
ival-div: 137.0ms (43.8% of total)ival-mult: 74.0ms (23.7% of total)backward-pass: 45.0ms (14.4% of total)...c/correct-round.rkt:119:19: 31.0ms (9.9% of total)ival-sub: 14.0ms (4.5% of total)ival-sqrt: 6.0ms (1.9% of total)ival-add: 4.0ms (1.3% of total)const: 2.0ms (0.6% of total)| Inputs |
|---|
#<alt (/ (/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) a)> |
#<alt (/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)))> |
#<alt (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))> |
#<alt (- (sqrt (+ (* b b) (* a (* c -3)))) b)> |
#<alt (* (/ b a) -2/3)> |
#<alt (/ b a)> |
#<alt (/ (/ 1/3 a) (* (/ -2/3 (* a c)) b))> |
#<alt (/ 1/3 a)> |
#<alt (* (/ -2/3 (* a c)) b)> |
#<alt (/ -2/3 (* a c))> |
#<alt (/ (/ 1/3 a) (/ 1 (* -3/2 (* (* a c) (/ 1 b)))))> |
#<alt (/ 1 (* -3/2 (* (* a c) (/ 1 b))))> |
#<alt (* -3/2 (* (* a c) (/ 1 b)))> |
#<alt (* (* a c) (/ 1 b))> |
#<alt (/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a))> |
#<alt (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3)))> |
#<alt (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))> |
#<alt (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a)> |
#<alt (sqrt (+ (* b b) (* a (* c -3))))> |
#<alt (+ (* b b) (* a (* c -3)))> |
#<alt (/ b (* c (* a -3/2)))> |
#<alt (/ (* c (* a -3/2)) b)> |
| Outputs |
|---|
#<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))))> |
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#<alt (* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2))))> |
#<alt (* a (pow b 2))> |
#<alt (* a (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (pow b 2)))> |
#<alt (* a (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (pow b 2)))> |
#<alt (* a (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (pow b 2)))> |
#<alt (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))> |
#<alt (* (pow a 3) (+ (* -9/4 (/ (pow c 2) (pow b 2))) (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 3) (+ (* -9/4 (/ (pow c 2) (pow b 2))) (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 3) (+ (* -9/4 (/ (pow c 2) (pow b 2))) (/ (pow b 2) (pow a 2))))> |
#<alt (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 2))))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 2))))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 2))))))> |
#<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)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (+ (* -3 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 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 (+ (* -3 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))> |
#<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 (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))> |
#<alt (* -3 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -2/3 (/ b (* a c)))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
#<alt (* -3/2 (/ (* a c) b))> |
183 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | b | @ | 0 | (/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a)) |
| 16.0ms | a | @ | -inf | (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
| 6.0ms | a | @ | -inf | (/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a)) |
| 3.0ms | a | @ | 0 | (/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a)) |
| 3.0ms | c | @ | 0 | (/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a)) |
| 1× | batch-egg-rewrite |
| 3264× | *-lowering-*.f32 |
| 3264× | *-lowering-*.f64 |
| 2586× | fma-lowering-fma.f32 |
| 2586× | fma-lowering-fma.f64 |
| 2032× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 274 |
| 1 | 287 | 250 |
| 2 | 2572 | 246 |
| 0 | 8614 | 246 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) a) |
(/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) |
(/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) |
(- (sqrt (+ (* b b) (* a (* c -3)))) b) |
(* (/ b a) -2/3) |
(/ b a) |
(/ (/ 1/3 a) (* (/ -2/3 (* a c)) b)) |
(/ 1/3 a) |
(* (/ -2/3 (* a c)) b) |
(/ -2/3 (* a c)) |
(/ (/ 1/3 a) (/ 1 (* -3/2 (* (* a c) (/ 1 b))))) |
(/ 1 (* -3/2 (* (* a c) (/ 1 b)))) |
(* -3/2 (* (* a c) (/ 1 b))) |
(* (* a c) (/ 1 b)) |
(/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a)) |
(- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) |
(* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3)) |
(* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) |
(sqrt (+ (* b b) (* a (* c -3)))) |
(+ (* b b) (* a (* c -3))) |
(/ b (* c (* a -3/2))) |
(/ (* c (* a -3/2)) b) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) a))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64))) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) a))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 a (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) |
(pow.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) b))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) #s(literal 1/3 binary64)) (/.f64 b #s(literal -3 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) #s(literal 1/3 binary64) (/.f64 b #s(literal -3 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) b))) |
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(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) b))) |
(*.f64 #s(literal -2/3 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 a c) b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b) |
(*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 b (*.f64 (*.f64 a c) #s(literal 3/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (pow.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (pow.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a c))) |
(*.f64 (/.f64 b c) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64)))) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) (/.f64 b c)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) c) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) b)) #s(literal -2/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) (/.f64 b c)) |
(*.f64 (pow.f64 (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (pow.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a c))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 a c) #s(literal -2/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) b) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a c))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b)) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) |
(/.f64 (/.f64 (*.f64 a c) #s(literal -2/3 binary64)) b) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 b (*.f64 (*.f64 a c) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) #s(literal -2/3 binary64)) #s(literal 1 binary64)) b) |
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) #s(literal -2/3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) |
(pow.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) |
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) |
(*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) |
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b)) |
(*.f64 (*.f64 a c) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -3/2 binary64))) |
(*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (*.f64 a c) b) #s(literal 1 binary64))) |
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 (*.f64 a c) b) #s(literal 1 binary64))) |
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 a c) b) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -3/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a c) #s(literal -2/3 binary64))) |
(*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b)) |
(*.f64 (/.f64 (*.f64 a c) #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (*.f64 a c) #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 a c) #s(literal -2/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 a c) #s(literal -2/3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) c) |
(*.f64 (*.f64 (/.f64 (*.f64 a c) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (*.f64 a c) #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 3/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) b)) (*.f64 a c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) (*.f64 a #s(literal -3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) (*.f64 a c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64)) (pow.f64 (*.f64 a c) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a c) b) #s(literal 1 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (/.f64 (*.f64 a c) #s(literal -2/3 binary64))) |
(*.f64 (pow.f64 (*.f64 a #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c b) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 a c) #s(literal -2/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal 1 binary64)) (pow.f64 (*.f64 a #s(literal -3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 a c) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) b)) #s(literal -1 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2/3 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2/3 binary64) c) #s(literal -1 binary64)) (/.f64 a b)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 6734× | *-lowering-*.f32 |
| 6734× | *-lowering-*.f64 |
| 4288× | +-lowering-+.f64 |
| 4288× | +-lowering-+.f32 |
| 1416× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1083 | 9552 |
| 1 | 3889 | 9422 |
| 0 | 8147 | 9422 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(* -1/2 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ 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 (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ (* a c) b)) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* 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 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)) |
(* -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)) |
(* (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)))))) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(* -2/3 (/ b a)) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ 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)) |
(/ 1/3 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) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(/ -2/3 (* a c)) |
(* -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 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)) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a 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 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)) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(/ (+ (* -9/4 (* (pow a 3) (pow c 2))) (* -3/2 (* (pow a 2) (* (pow b 2) c)))) (pow b 2)) |
(/ (+ (* -9/4 (* (pow a 3) (pow c 2))) (* -3/2 (* (pow a 2) (* (pow b 2) c)))) (pow b 2)) |
(/ (+ (* -9/4 (* (pow a 3) (pow c 2))) (* -3/2 (* (pow a 2) (* (pow b 2) c)))) (pow b 2)) |
(* -3/2 (* (pow a 2) c)) |
(- (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 3/2 (* (pow a 2) c))) |
(- (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 3/2 (* (pow a 2) c))) |
(- (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 3/2 (* (pow a 2) c))) |
(* -3/2 (* (pow a 2) c)) |
(- (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 3/2 (* (pow a 2) c))) |
(- (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 3/2 (* (pow a 2) c))) |
(- (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 3/2 (* (pow a 2) c))) |
(* -3/2 (* (pow a 2) c)) |
(* c (- (* -9/4 (/ (* (pow a 3) c) (pow b 2))) (* 3/2 (pow a 2)))) |
(* c (- (* -9/4 (/ (* (pow a 3) c) (pow b 2))) (* 3/2 (pow a 2)))) |
(* c (- (* -9/4 (/ (* (pow a 3) c) (pow b 2))) (* 3/2 (pow a 2)))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (* -3/2 (/ (pow a 2) c)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (* -3/2 (/ (pow a 2) c)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (* -3/2 (/ (pow a 2) c)))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (* -3/2 (/ (pow a 2) c)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (* -3/2 (/ (pow a 2) c)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (* -3/2 (/ (pow a 2) c)))) |
(* -3/2 (* (pow a 2) c)) |
(* (pow a 2) (- (* -9/4 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c))) |
(* (pow a 2) (- (* -9/4 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c))) |
(* (pow a 2) (- (* -9/4 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(* (pow a 3) (- (* -3/2 (/ c a)) (* 9/4 (/ (pow c 2) (pow b 2))))) |
(* (pow a 3) (- (* -3/2 (/ c a)) (* 9/4 (/ (pow c 2) (pow b 2))))) |
(* (pow a 3) (- (* -3/2 (/ c a)) (* 9/4 (/ (pow c 2) (pow b 2))))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(* -1 (* (pow a 3) (+ (* 3/2 (/ c a)) (* 9/4 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* (pow a 3) (+ (* 3/2 (/ c a)) (* 9/4 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* (pow a 3) (+ (* 3/2 (/ c a)) (* 9/4 (/ (pow c 2) (pow b 2)))))) |
(* a (pow b 2)) |
(* a (+ (* 3/2 (* a c)) (pow b 2))) |
(* a (+ (* 3/2 (* a c)) (pow b 2))) |
(* a (+ (* 3/2 (* a c)) (pow b 2))) |
(* 3/2 (* (pow a 2) c)) |
(* (pow a 2) (+ (* 3/2 c) (/ (pow b 2) a))) |
(* (pow a 2) (+ (* 3/2 c) (/ (pow b 2) a))) |
(* (pow a 2) (+ (* 3/2 c) (/ (pow b 2) a))) |
(* 3/2 (* (pow a 2) c)) |
(* (pow a 2) (+ (* 3/2 c) (/ (pow b 2) a))) |
(* (pow a 2) (+ (* 3/2 c) (/ (pow b 2) a))) |
(* (pow a 2) (+ (* 3/2 c) (/ (pow b 2) a))) |
(* 3/2 (* (pow a 2) c)) |
(+ (* 3/2 (* (pow a 2) c)) (* a (pow b 2))) |
(+ (* 3/2 (* (pow a 2) c)) (* a (pow b 2))) |
(+ (* 3/2 (* (pow a 2) c)) (* a (pow b 2))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (* 3/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* (pow b 2) (+ a (* 3/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* (pow b 2) (+ a (* 3/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (* 3/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* (pow b 2) (+ a (* 3/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* (pow b 2) (+ a (* 3/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* a (pow b 2)) |
(+ (* 3/2 (* (pow a 2) c)) (* a (pow b 2))) |
(+ (* 3/2 (* (pow a 2) c)) (* a (pow b 2))) |
(+ (* 3/2 (* (pow a 2) c)) (* a (pow b 2))) |
(* 3/2 (* (pow a 2) c)) |
(* c (+ (* 3/2 (pow a 2)) (/ (* a (pow b 2)) c))) |
(* c (+ (* 3/2 (pow a 2)) (/ (* a (pow b 2)) c))) |
(* c (+ (* 3/2 (pow a 2)) (/ (* a (pow b 2)) c))) |
(* 3/2 (* (pow a 2) c)) |
(* -1 (* c (+ (* -3/2 (pow a 2)) (* -1 (/ (* a (pow b 2)) c))))) |
(* -1 (* c (+ (* -3/2 (pow a 2)) (* -1 (/ (* a (pow b 2)) c))))) |
(* -1 (* c (+ (* -3/2 (pow a 2)) (* -1 (/ (* a (pow b 2)) c))))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(/ (+ (* -9/4 (* (pow a 3) (pow c 2))) (* a (pow b 4))) (pow b 2)) |
(/ (+ (* -9/4 (* (pow a 3) (pow c 2))) (* a (pow b 4))) (pow b 2)) |
(/ (+ (* -9/4 (* (pow a 3) (pow c 2))) (* a (pow b 4))) (pow b 2)) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) |
(* (pow b 2) (+ a (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) |
(* (pow b 2) (+ a (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) |
(* (pow b 2) (+ a (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) |
(* (pow b 2) (+ a (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) |
(* a (pow b 2)) |
(+ (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* a (pow b 2))) |
(+ (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* a (pow b 2))) |
(+ (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* a (pow b 2))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(* a (pow b 2)) |
(* a (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (pow b 2))) |
(* a (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (pow b 2))) |
(* a (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (pow b 2))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(* (pow a 3) (+ (* -9/4 (/ (pow c 2) (pow b 2))) (/ (pow b 2) (pow a 2)))) |
(* (pow a 3) (+ (* -9/4 (/ (pow c 2) (pow b 2))) (/ (pow b 2) (pow a 2)))) |
(* (pow a 3) (+ (* -9/4 (/ (pow c 2) (pow b 2))) (/ (pow b 2) (pow a 2)))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 2)))))) |
(* (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)) (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 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)))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -2/3 (/ b (* a c))) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
(* -3/2 (/ (* a c) b)) |
| Outputs |
|---|
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal -1/3 binary64) 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))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64)))))) (/.f64 #s(literal -1/3 binary64) a)))) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) 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) |
(/.f64 (+.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) 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) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) a))))) b) |
(* -2/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (+.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (+.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) 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)))))) |
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.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)))))) |
(+ (* -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))))))) |
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)))) b)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a)) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/6 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)))))) |
(+ (* -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)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/6 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 -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/3 binary64) b)) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (+.f64 (*.f64 #s(literal -1/6 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 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))) (/.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)))))) a)) a)) |
(* -1/2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.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 (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)))) (*.f64 a b)))))) (/.f64 #s(literal -1/2 binary64) b))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 c a)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 c a)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 c a)) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (/.f64 (+.f64 (*.f64 #s(literal -1/24 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 (pow.f64 a #s(literal 5 binary64))))))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))))) c)) c)) (neg.f64 c)) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) (*.f64 #s(literal -1/3 binary64) b)) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/3 binary64)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)))))) #s(literal -1/3 binary64)))) |
(* -1/2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)))) (*.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) b) |
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(*.f64 (*.f64 b b) (+.f64 a (/.f64 (*.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) |
(* (pow b 2) (+ a (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) |
(*.f64 (*.f64 b b) (+.f64 a (/.f64 (*.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) |
(* a (pow b 2)) |
(*.f64 a (*.f64 b b)) |
(+ (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* a (pow b 2))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) b) (/.f64 (*.f64 c c) b)) (*.f64 a (*.f64 b b))) |
(+ (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* a (pow b 2))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) b) (/.f64 (*.f64 c c) b)) (*.f64 a (*.f64 b b))) |
(+ (* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* a (pow b 2))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) b) (/.f64 (*.f64 c c) b)) (*.f64 a (*.f64 b b))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) b) (/.f64 (*.f64 c c) b)) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 b b)) (*.f64 c c)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 b b)) (*.f64 c c)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 b b)) (*.f64 c c)))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) b) (/.f64 (*.f64 c c) b)) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 b b)) (*.f64 c c)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 b b)) (*.f64 c c)))) |
(* (pow c 2) (+ (* -9/4 (/ (pow a 3) (pow b 2))) (/ (* a (pow b 2)) (pow c 2)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 b b)) (*.f64 c c)))) |
(* a (pow b 2)) |
(*.f64 a (*.f64 b b)) |
(* a (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (pow b 2))) |
(*.f64 a (+.f64 (*.f64 b b) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)) #s(literal -9/4 binary64)))) |
(* a (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (pow b 2))) |
(*.f64 a (+.f64 (*.f64 b b) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)) #s(literal -9/4 binary64)))) |
(* a (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (pow b 2))) |
(*.f64 a (+.f64 (*.f64 b b) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)) #s(literal -9/4 binary64)))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) b) (/.f64 (*.f64 c c) b)) |
(* (pow a 3) (+ (* -9/4 (/ (pow c 2) (pow b 2))) (/ (pow b 2) (pow a 2)))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(* (pow a 3) (+ (* -9/4 (/ (pow c 2) (pow b 2))) (/ (pow b 2) (pow a 2)))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(* (pow a 3) (+ (* -9/4 (/ (pow c 2) (pow b 2))) (/ (pow b 2) (pow a 2)))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))) |
(* -9/4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -9/4 binary64) (*.f64 a (*.f64 a a))) b) (/.f64 (*.f64 c c) b)) |
(* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 2)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 2)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 2)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a a)))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
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(+ (* (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))))))) |
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(+ (* (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))))))))) |
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b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64))))) |
(* 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))))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))))) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(* -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)))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f64 b (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.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))) #s(literal 1/2 binary64)))) |
(* 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))))) |
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(* 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)))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 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))))))) |
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(* -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)))))))) |
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b |
(+ b (* -3/2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
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(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(+.f64 b (*.f64 c (+.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.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 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64)))) |
(* 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 (+.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 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64)) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (*.f64 c a)))) |
(* -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 #s(literal 0 binary64) (*.f64 c (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 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 (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 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))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -3 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -3 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -3 binary64)) (/.f64 (*.f64 b b) a))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(+ (* -3 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (*.f64 b b) c))) |
(* -3 (* a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -2/3 (/ b (* a c))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) |
Compiled 74665 to 4721 computations (93.7% saved)
63 alts after pruning (54 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1872 | 16 | 1888 |
| Fresh | 9 | 38 | 47 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1883 | 63 | 1946 |
| Status | Accuracy | Program |
|---|---|---|
| 20.8% | (fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64))))) | |
| 23.0% | (fma.f64 (/.f64 (sqrt.f64 c) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64))))) | |
| 53.1% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) | |
| 27.1% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a) | |
| 35.0% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64)) | |
| 23.2% | (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a) | |
| 27.8% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a) | |
| 25.8% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a) | |
| 25.5% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a) | |
| 22.9% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) | |
| 35.0% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))) a) | |
| 35.6% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a) | |
| 23.5% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a) | |
| 27.1% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a)) | |
| 24.7% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c)) | |
| 25.4% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) | |
| 25.5% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) | |
| 27.0% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c)))) | |
| ✓ | 53.2% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
| ✓ | 22.9% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))) |
| ✓ | 22.9% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)) |
| 23.4% | (/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a))))) | |
| 7.0% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 9.9% | (/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 23.0% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 8.7% | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 4.3% | (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64)))) | |
| 4.7% | (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a)) | |
| 3.9% | (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a)) | |
| ✓ | 9.4% | (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
| 19.0% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) b) (*.f64 #s(literal 3 binary64) a)) | |
| 23.5% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 a #s(literal -3 binary64)))) | |
| 20.6% | (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b)) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))))) b) | |
| 32.4% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) | |
| ✓ | 35.6% | (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| 35.6% | (/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) | |
| 23.1% | (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a) | |
| 9.5% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a) | |
| 34.9% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a) | |
| ✓ | 53.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a) |
| 35.0% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a) | |
| 27.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a) | |
| 35.6% | (/.f64 b (/.f64 a #s(literal -2/3 binary64))) | |
| 35.6% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) | |
| ✓ | 35.6% | (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
| 35.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64)) | |
| 35.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64))) | |
| 35.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) | |
| 23.7% | (*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) | |
| 35.0% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) | |
| 27.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) | |
| 23.2% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b)) | |
| ✓ | 35.6% | (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
| ✓ | 53.2% | (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| 34.9% | (*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) | |
| 35.4% | (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) | |
| 25.9% | (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b)) | |
| 23.1% | (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b)) | |
| 35.6% | (*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 18.3% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) #s(literal -2/3 binary64)) | |
| 18.6% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2/3 binary64))) #s(literal -1 binary64))) b) | |
| 30.5% | (*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b))) | |
| 23.0% | (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64)))))) |
Compiled 2795 to 1238 computations (55.7% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/.f64 b (/.f64 a #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a) |
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a) |
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a)) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a) |
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)))) |
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))) a) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) a) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64))) |
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (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))) |
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b)) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))))) b) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2/3 binary64))) #s(literal -1 binary64))) b) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) #s(literal -2/3 binary64)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) b) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 (/.f64 (sqrt.f64 c) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64))))) |
(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/.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 c #s(literal -1/2 binary64)) b) |
5 calls:
| 44.0ms | (*.f64 #s(literal 3 binary64) a) |
| 41.0ms | (/.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)) |
| 38.0ms | a |
| 32.0ms | c |
| 32.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.2% | 3 | a |
| 86.1% | 3 | b |
| 57.6% | 3 | c |
| 75.0% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 58.2% | 3 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/.f64 b (/.f64 a #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a) |
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a) |
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a)) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a) |
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)))) |
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))) a) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 24.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/.f64 b (/.f64 a #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a) |
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a) |
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a)) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a) |
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)))) |
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))) a) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a) |
| Outputs |
|---|
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 29.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/.f64 b (/.f64 a #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a) |
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a) |
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a)) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a) |
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)))) |
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))) a) |
| Outputs |
|---|
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 24.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/.f64 b (/.f64 a #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a) |
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a) |
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a)) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a) |
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)))) |
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a) |
| Outputs |
|---|
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 30.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/.f64 b (/.f64 a #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a) |
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a) |
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a)) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a) |
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)))) |
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 54.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/.f64 b (/.f64 a #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) |
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a) |
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a) |
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a)) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c)))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
| Outputs |
|---|
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/.f64 b (/.f64 a #s(literal -2/3 binary64))) |
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a) |
| Outputs |
|---|
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
3 calls:
| 2.0ms | c |
| 2.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.6% | 1 | c |
| 35.6% | 1 | a |
| 35.6% | 1 | b |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
3 calls:
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.6% | 1 | b |
| 35.6% | 1 | c |
| 35.6% | 1 | a |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 1.7620334009056426e-41 | 2.3084947304993612e-30 |
| 26.0ms | -1.455290616197011e+89 | -3.2515627475857268e+87 |
| 24.0ms | 52× | 2 | valid |
| 15.0ms | 184× | 0 | valid |
| 6.0ms | 36× | 1 | valid |
| 4.0ms | 43× | 0 | invalid |
Compiled 536 to 357 computations (33.4% saved)
ival-mult: 9.0ms (36% of total)ival-sqrt: 3.0ms (12% of total)ival-div: 3.0ms (12% of total)backward-pass: 2.0ms (8% of total)ival-sub: 2.0ms (8% of total)ival-neg: 2.0ms (8% of total)ival-add: 2.0ms (8% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 71.0ms | 1.7620334009056426e-41 | 2.3084947304993612e-30 |
| 40.0ms | -1.455290616197011e+89 | -3.2515627475857268e+87 |
| 41.0ms | 182× | 0 | valid |
| 33.0ms | 46× | 2 | valid |
| 18.0ms | 52× | 0 | invalid |
| 8.0ms | 44× | 1 | valid |
Compiled 519 to 374 computations (27.9% saved)
ival-neg: 37.0ms (61.5% of total)ival-mult: 9.0ms (15% of total)ival-sqrt: 3.0ms (5% of total)ival-div: 3.0ms (5% of total)backward-pass: 2.0ms (3.3% of total)ival-sub: 2.0ms (3.3% of total)ival-add: 2.0ms (3.3% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 69.0ms | 1.7620334009056426e-41 | 2.3084947304993612e-30 |
| 30.0ms | -9.199480099021047e+97 | -2.4022769890615185e+91 |
| 46.0ms | 50× | 2 | valid |
| 17.0ms | 212× | 0 | valid |
| 16.0ms | 37× | 0 | invalid |
| 8.0ms | 42× | 1 | valid |
Compiled 577 to 416 computations (27.9% saved)
ival-mult: 57.0ms (77.2% of total)ival-sqrt: 4.0ms (5.4% of total)ival-div: 3.0ms (4.1% of total)ival-neg: 3.0ms (4.1% of total)ival-sub: 2.0ms (2.7% of total)backward-pass: 2.0ms (2.7% of total)ival-add: 2.0ms (2.7% of total)const: 1.0ms (1.4% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 6.934682425224972e-87 | 1.0253775180779548e-86 |
| 24.0ms | -9.994390991537696e-52 | -3.628366572364299e-62 |
| 17.0ms | 192× | 0 | valid |
| 7.0ms | 19× | 1 | valid |
| 5.0ms | 62× | 0 | invalid |
| 3.0ms | 13× | 2 | valid |
Compiled 476 to 353 computations (25.8% saved)
ival-mult: 7.0ms (32.3% of total)ival-neg: 6.0ms (27.7% of total)ival-sqrt: 3.0ms (13.8% of total)ival-div: 2.0ms (9.2% of total)ival-sub: 2.0ms (9.2% of total)ival-add: 2.0ms (9.2% of total)backward-pass: 1.0ms (4.6% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.934682425224972e-87 | 1.0253775180779548e-86 |
| 32.0ms | -9.994390991537696e-52 | -3.628366572364299e-62 |
| 26.0ms | 202× | 0 | valid |
| 4.0ms | 52× | 0 | invalid |
| 3.0ms | 10× | 2 | valid |
| 2.0ms | 12× | 1 | valid |
Compiled 476 to 353 computations (25.8% saved)
ival-neg: 11.0ms (42.7% of total)ival-mult: 6.0ms (23.3% of total)ival-div: 2.0ms (7.8% of total)ival-sqrt: 2.0ms (7.8% of total)ival-sub: 1.0ms (3.9% of total)ival-add: 1.0ms (3.9% of total)backward-pass: 0.0ms (0% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | -5.624456196992303e-292 | 1.687488448935003e-305 |
| 23.0ms | 176× | 0 | valid |
| 6.0ms | 75× | 0 | invalid |
Compiled 334 to 248 computations (25.7% saved)
ival-sub: 9.0ms (42.8% of total)ival-mult: 5.0ms (23.8% of total)ival-div: 2.0ms (9.5% of total)ival-sqrt: 2.0ms (9.5% of total)ival-add: 1.0ms (4.8% of total)ival-neg: 1.0ms (4.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | -5.624456196992303e-292 | 1.687488448935003e-305 |
| 14.0ms | 176× | 0 | valid |
| 14.0ms | 87× | 0 | invalid |
Compiled 224 to 171 computations (23.7% saved)
ival-div: 9.0ms (44.2% of total)ival-mult: 5.0ms (24.5% of total)ival-sqrt: 2.0ms (9.8% of total)ival-sub: 1.0ms (4.9% of total)ival-add: 1.0ms (4.9% of total)ival-neg: 1.0ms (4.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 56× | *-commutative_binary64 |
| 42× | +-commutative_binary64 |
| 36× | sub-neg_binary64 |
| 30× | neg-sub0_binary64 |
| 30× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 228 |
| 1 | 107 | 227 |
| 2 | 133 | 227 |
| 3 | 150 | 227 |
| 4 | 166 | 227 |
| 5 | 187 | 227 |
| 6 | 201 | 227 |
| 7 | 213 | 227 |
| 8 | 218 | 227 |
| 9 | 219 | 227 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -15600000000000000780378553341773122277913139592850655120835046053479747695319850072145920 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 2319695398771609/374144419156711147060143317175368453031918731001856 binary64)) (/.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 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -65000000000000001779204751608734401505223497684445633147242777826483150295827540890091520 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -17000000000000001084790316280474749516647941550246691860270108415635677937497330909741892763648 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3068490364788879/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 4815451195682279/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -1492632400324779/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 8958978968711217/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -15600000000000000780378553341773122277913139592850655120835046053479747695319850072145920 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 2319695398771609/374144419156711147060143317175368453031918731001856 binary64)) (/.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 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -15600000000000000780378553341773122277913139592850655120835046053479747695319850072145920 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 2319695398771609/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -65000000000000001779204751608734401505223497684445633147242777826483150295827540890091520 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -65000000000000001779204751608734401505223497684445633147242777826483150295827540890091520 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -17000000000000001084790316280474749516647941550246691860270108415635677937497330909741892763648 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -17000000000000001084790316280474749516647941550246691860270108415635677937497330909741892763648 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3068490364788879/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 4815451195682279/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -3068490364788879/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 b (-.f64 (*.f64 (/.f64 (/.f64 c b) b) (-.f64 #s(literal 0 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 4815451195682279/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -1492632400324779/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 8958978968711217/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -1492632400324779/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (*.f64 b (-.f64 (*.f64 (/.f64 (/.f64 c b) b) (-.f64 #s(literal 0 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 8958978968711217/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 b (-.f64 (*.f64 (/.f64 (/.f64 c b) b) (-.f64 #s(literal 0 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b) |
(*.f64 b (/.f64 #s(literal -2/3 binary64) a)) |
| 6330× | *-lowering-*.f32 |
| 6330× | *-lowering-*.f64 |
| 6018× | *-lowering-*.f32 |
| 6018× | *-lowering-*.f64 |
| 4416× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 16 |
| 1 | 30 | 15 |
| 2 | 69 | 15 |
| 3 | 168 | 15 |
| 4 | 292 | 15 |
| 5 | 521 | 15 |
| 6 | 1034 | 15 |
| 7 | 2217 | 15 |
| 8 | 5226 | 15 |
| 9 | 7778 | 15 |
| 0 | 8194 | 15 |
| 0 | 19 | 90 |
| 1 | 117 | 86 |
| 2 | 1089 | 86 |
| 0 | 8763 | 86 |
| 0 | 570 | 6482 |
| 1 | 1949 | 6398 |
| 2 | 7332 | 6398 |
| 0 | 8058 | 6398 |
| 0 | 1008 | 8693 |
| 1 | 3591 | 8551 |
| 0 | 8260 | 8551 |
| 0 | 35 | 170 |
| 1 | 206 | 165 |
| 2 | 1860 | 159 |
| 0 | 8199 | 159 |
| 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 519 to 291 computations (43.9% saved)
Compiled 506 to 180 computations (64.4% saved)
Loading profile data...