
Time bar (total: 13.2s)
| 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 15 computations (28.6% saved)
ival-mult: 38.0ms (46% of total)ival-sqrt: 10.0ms (12.1% of total)ival-div: 9.0ms (10.9% of total)ival-neg: 9.0ms (10.9% of total)ival-sub: 7.0ms (8.5% of total)ival-add: 7.0ms (8.5% of total)const: 3.0ms (3.6% of total)backward-pass: 1.0ms (1.2% of total)| 1.3s | 2019× | 2 | valid |
| 629.0ms | 5437× | 0 | valid |
| 207.0ms | 800× | 1 | valid |
| 107.0ms | 954× | 0 | invalid |
ival-div: 507.0ms (28.2% of total)ival-mult: 445.0ms (24.7% of total)ival-sqrt: 428.0ms (23.8% of total)ival-neg: 121.0ms (6.7% of total)ival-add: 117.0ms (6.5% of total)ival-sub: 91.0ms (5.1% of total)backward-pass: 68.0ms (3.8% of total)const: 22.0ms (1.2% of total)| 2× | egg-herbie |
| 2302× | fnmadd-define |
| 1686× | fma-define |
| 1682× | fnmadd-define |
| 1680× | div-sub |
| 1636× | sum5-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 165 |
| 1 | 190 | 150 |
| 2 | 551 | 140 |
| 3 | 1497 | 140 |
| 4 | 4635 | 140 |
| 0 | 14 | 16 |
| 1 | 34 | 15 |
| 2 | 73 | 14 |
| 3 | 172 | 14 |
| 4 | 296 | 14 |
| 5 | 528 | 14 |
| 6 | 1046 | 14 |
| 7 | 2242 | 14 |
| 8 | 5182 | 14 |
| 9 | 7757 | 14 |
| 0 | 8173 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) |
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))) |
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))) |
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) |
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/ (- (sqrt (fma a (* c -4) (square b))) b) (* a 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) |
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a -2)) |
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ b (sqrt (fma a (* c -4) (square b)))) (* a 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) |
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a 2)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))) |
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a 2)) |
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))) |
(/ (+ b (sqrt (fma a (* c -4) (square b)))) (* a -2)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))) |
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a -2)) |
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) |
(/ (- (sqrt (fma b (* c -4) (square a))) a) (* b 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) |
(/ (- (sqrt (fma a (* c -4) (square b))) b) (* c 2)) |
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) |
(/ (- c (sqrt (fma b (* a -4) (square c)))) (* a -2)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 112 | 0 | - | 1 | (7.487441542482919e-24 3.8010468204896144e-222 -8.363217784778114e-296) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 61 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 18 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | a |
| 62.0ms | 146× | 2 | valid |
| 42.0ms | 324× | 0 | valid |
| 29.0ms | 42× | 1 | valid |
Compiled 168 to 44 computations (73.8% saved)
ival-mult: 22.0ms (35.7% of total)backward-pass: 9.0ms (14.6% of total)ival-sqrt: 7.0ms (11.4% of total)ival-div: 6.0ms (9.7% of total)ival-neg: 6.0ms (9.7% of total)ival-add: 5.0ms (8.1% of total)ival-sub: 4.0ms (6.5% of total)const: 1.0ms (1.6% of total)Compiled 19 to 13 computations (31.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.0% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| 2146× | fnmadd-define |
| 1564× | fma-define |
| 1456× | fnmsub-define |
| 1296× | fmm-def |
| 1262× | fmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 61 |
| 1 | 28 | 57 |
| 2 | 56 | 57 |
| 3 | 86 | 57 |
| 4 | 147 | 57 |
| 5 | 246 | 57 |
| 6 | 409 | 57 |
| 7 | 823 | 57 |
| 8 | 1955 | 57 |
| 9 | 4401 | 57 |
| 10 | 6436 | 57 |
| 11 | 7252 | 57 |
| 0 | 8065 | 57 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
a |
(* c -4) |
c |
-4 |
(* a 2) |
2 |
| Outputs |
|---|
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
a |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 93.2% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 79.0% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 59.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| 38.0ms | 73× | 2 | valid |
| 33.0ms | 162× | 0 | valid |
| 5.0ms | 21× | 1 | valid |
Compiled 70 to 14 computations (80% saved)
ival-mult: 22.0ms (58.1% of total)ival-sqrt: 4.0ms (10.6% of total)ival-div: 3.0ms (7.9% of total)backward-pass: 3.0ms (7.9% of total)ival-sub: 2.0ms (5.3% of total)ival-add: 2.0ms (5.3% of total)const: 1.0ms (2.6% of total)| Inputs |
|---|
#<alt (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))> |
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)> |
#<alt (sqrt (+ (* b b) (* a (* c -4))))> |
#<alt (+ (* b b) (* a (* c -4)))> |
| Outputs |
|---|
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -4 (* a c))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | inf | (+ (* b b) (* a (* c -4))) |
| 1.0ms | b | @ | inf | (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
| 1.0ms | a | @ | inf | (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
| 1.0ms | b | @ | 0 | (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
| 1.0ms | c | @ | -inf | (sqrt (+ (* b b) (* a (* c -4)))) |
| 1× | batch-egg-rewrite |
| 4744× | *-lowering-*.f32 |
| 4744× | *-lowering-*.f64 |
| 3218× | /-lowering-/.f32 |
| 3218× | /-lowering-/.f64 |
| 1202× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 63 | 39 |
| 2 | 539 | 39 |
| 3 | 7590 | 39 |
| 0 | 8088 | 39 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))) |
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))) |
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a)) |
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))) |
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(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c)))))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c)))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (-.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c)))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) |
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c))))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| 1× | egg-herbie |
| 5864× | *-lowering-*.f32 |
| 5864× | *-lowering-*.f64 |
| 2358× | +-lowering-+.f64 |
| 2358× | +-lowering-+.f32 |
| 1600× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 543 | 3071 |
| 1 | 1886 | 2859 |
| 2 | 7132 | 2847 |
| 0 | 8001 | 2847 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
| Outputs |
|---|
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) b) |
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(* -2 (/ (* a c) b)) |
(*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (*.f64 a (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
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(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.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 (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
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(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))) (neg.f64 a)) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
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(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 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 -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (+.f64 (*.f64 (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)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))) (*.f64 (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))) #s(literal -1/64 binary64)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))) (+.f64 (*.f64 (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))) #s(literal -1/64 binary64))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b))))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b))))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
Compiled 21444 to 1961 computations (90.9% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 510 | 16 | 526 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 511 | 16 | 527 |
| Status | Accuracy | Program |
|---|---|---|
| 23.4% | (/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) | |
| 30.7% | (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/4 binary64)) b) (*.f64 a #s(literal 2 binary64))) | |
| 34.2% | (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) | |
| ▶ | 14.0% | (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| ▶ | 33.3% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) |
| ▶ | 13.9% | (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64))) |
| 25.2% | (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) | |
| 20.0% | (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) | |
| 36.7% | (/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) | |
| 32.2% | (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 37.0% | (/.f64 b (neg.f64 a)) |
| ▶ | 47.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| 38.9% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| 47.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) | |
| 36.5% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) | |
| 37.0% | (*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
Compiled 650 to 398 computations (38.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) |
| ✓ | cost-diff | 256 | (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 768 | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) |
| ✓ | cost-diff | 256 | (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) |
| ✓ | cost-diff | 512 | (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) |
| ✓ | cost-diff | 512 | (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) |
| ✓ | cost-diff | 256 | (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) b) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | -64 | (neg.f64 a) |
| ✓ | cost-diff | -64 | (/.f64 b (neg.f64 a)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| 3454× | *-lowering-*.f32 |
| 3454× | *-lowering-*.f64 |
| 1624× | /-lowering-/.f32 |
| 1624× | /-lowering-/.f64 |
| 1610× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 332 |
| 1 | 106 | 308 |
| 2 | 305 | 296 |
| 3 | 1252 | 282 |
| 4 | 4968 | 282 |
| 0 | 8427 | 282 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))) |
1/2 |
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
a |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
(* c -4) |
c |
-4 |
(/ b (neg a)) |
b |
(neg a) |
a |
(/ (- (+ b (* a (* (/ c b) -2))) b) (* a 2)) |
(- (+ b (* a (* (/ c b) -2))) b) |
(+ b (* a (* (/ c b) -2))) |
b |
(* a (* (/ c b) -2)) |
a |
(* (/ c b) -2) |
(/ c b) |
c |
-2 |
(* a 2) |
2 |
(/ (- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) (* a 2)) |
(- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) |
(* b (+ 1 (/ (* a (* (/ c b) -2)) b))) |
b |
(+ 1 (/ (* a (* (/ c b) -2)) b)) |
1 |
(/ (* a (* (/ c b) -2)) b) |
(* a (* (/ c b) -2)) |
a |
(* (/ c b) -2) |
(/ c b) |
c |
-2 |
(* a 2) |
2 |
(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b)) 2) (* 2 (/ (* a 2) b))) |
(- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b)) 2) |
(* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b)) |
(/ (sqrt (+ (* b b) (* a (* c -4)))) a) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
a |
(* c -4) |
c |
-4 |
(/ (* a 2) b) |
(* a 2) |
2 |
(* 2 (/ (* a 2) b)) |
| Outputs |
|---|
(/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) |
a |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
(/ b (neg a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
b |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(/ (- (+ b (* a (* (/ c b) -2))) b) (* a 2)) |
(/.f64 (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b))) (*.f64 a #s(literal 2 binary64))) |
(- (+ b (* a (* (/ c b) -2))) b) |
(*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b))) |
(+ b (* a (* (/ c b) -2))) |
(+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) |
b |
(* a (* (/ c b) -2)) |
(*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b))) |
a |
(* (/ c b) -2) |
(*.f64 c (/.f64 #s(literal -2 binary64) b)) |
(/ c b) |
(/.f64 c b) |
c |
-2 |
#s(literal -2 binary64) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) (* a 2)) |
(/.f64 (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b))) (*.f64 a #s(literal 2 binary64))) |
(- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) |
(*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b))) |
(* b (+ 1 (/ (* a (* (/ c b) -2)) b))) |
(+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) |
b |
(+ 1 (/ (* a (* (/ c b) -2)) b)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b))) b)) |
1 |
#s(literal 1 binary64) |
(/ (* a (* (/ c b) -2)) b) |
(/.f64 (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b))) b) |
(* a (* (/ c b) -2)) |
(*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b))) |
a |
(* (/ c b) -2) |
(*.f64 c (/.f64 #s(literal -2 binary64) b)) |
(/ c b) |
(/.f64 c b) |
c |
-2 |
#s(literal -2 binary64) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b)) 2) (* 2 (/ (* a 2) b))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 2 binary64))) |
(- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b)) 2) |
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 2 binary64)) b)) |
(* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b)) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 2 binary64)) b) |
(/ (sqrt (+ (* b b) (* a (* c -4)))) a) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) a) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
a |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
(/ (* a 2) b) |
(/.f64 (*.f64 a #s(literal 2 binary64)) b) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* 2 (/ (* a 2) b)) |
(*.f64 a (/.f64 #s(literal 4 binary64) b)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 84.4% | (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) |
| ✓ | accuracy | 79.9% | (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) |
| ✓ | accuracy | 76.9% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) |
| ✓ | accuracy | 59.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | accuracy | 95.5% | (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) |
| ✓ | accuracy | 92.0% | (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) |
| ✓ | accuracy | 85.3% | (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 56.7% | (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 c b) #s(literal -2 binary64)) |
| ✓ | accuracy | 92.0% | (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) |
| ✓ | accuracy | 85.3% | (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 56.7% | (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) b) |
| ✓ | accuracy | 100.0% | (/.f64 b (neg.f64 a)) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 99.4% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 93.2% | (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ✓ | accuracy | 79.0% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 59.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| 92.0ms | 76× | 2 | valid |
| 89.0ms | 88× | 1 | valid |
| 34.0ms | 20× | 3 | valid |
| 32.0ms | 72× | 0 | valid |
Compiled 366 to 37 computations (89.9% saved)
ival-div: 40.0ms (31.3% of total)ival-mult: 36.0ms (28.2% of total)backward-pass: 22.0ms (17.2% of total)ival-sub: 13.0ms (10.2% of total)ival-add: 8.0ms (6.3% of total)ival-sqrt: 5.0ms (3.9% of total)const: 2.0ms (1.6% of total)ival-neg: 2.0ms (1.6% of total)| Inputs |
|---|
#<alt (/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)))> |
#<alt (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))> |
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)> |
#<alt (sqrt (+ (* b b) (* a (* c -4))))> |
#<alt (/ b (neg a))> |
#<alt (neg a)> |
#<alt (/ (- (+ b (* a (* (/ c b) -2))) b) (* a 2))> |
#<alt (- (+ b (* a (* (/ c b) -2))) b)> |
#<alt (+ b (* a (* (/ c b) -2)))> |
#<alt (* a (* (/ c b) -2))> |
#<alt (/ (- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) (* a 2))> |
#<alt (- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b)> |
#<alt (* b (+ 1 (/ (* a (* (/ c b) -2)) b)))> |
#<alt (+ 1 (/ (* a (* (/ c b) -2)) b))> |
#<alt (/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b)) 2) (* 2 (/ (* a 2) b)))> |
#<alt (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b)) 2)> |
#<alt (* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b))> |
#<alt (* 2 (/ (* a 2) b))> |
#<alt (+ (* b b) (* a (* c -4)))> |
#<alt (* (/ c b) -2)> |
| Outputs |
|---|
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1/2 (/ b c))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))> |
#<alt (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))> |
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))> |
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))> |
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))> |
#<alt (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))> |
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))> |
#<alt (+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))> |
#<alt (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))> |
#<alt (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))))> |
#<alt (* -1/2 (/ a b))> |
#<alt (* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))> |
#<alt (* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))> |
#<alt (* -1/2 (/ b c))> |
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)> |
#<alt (/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)> |
#<alt (/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)> |
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))> |
#<alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)> |
#<alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c)> |
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
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#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
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#<alt b> |
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -1 (/ b a))> |
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#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
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#<alt b> |
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#<alt b> |
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#<alt b> |
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#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt b> |
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#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))> |
#<alt b> |
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#<alt b> |
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#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))> |
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#<alt 1> |
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#<alt 1> |
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#<alt (/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2))> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2))> |
#<alt 1> |
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#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt 1> |
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#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
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#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))> |
#<alt (/ (+ (* -2 b) (* 2 (* (sqrt (* a c)) (sqrt -4)))) b)> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))) 2))) b)> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))) 2))) b)> |
#<alt (* -4 (/ (* a c) (pow b 2)))> |
#<alt (/ (+ (* -4 (* a c)) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (pow b 2))> |
#<alt (/ (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -4 (* a c)) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (pow b 2))> |
#<alt (/ (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -4 (* a c)) (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) (pow b 2))> |
#<alt -4> |
#<alt (- (* 4 (/ (* a c) (pow b 2))) 4)> |
#<alt (- (+ (* 4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 4)> |
#<alt (- (+ (* 4 (/ (* a c) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 4)> |
#<alt (* -4 (/ (* a c) (pow b 2)))> |
#<alt (* a (+ (* -4 (/ c (pow b 2))) (* -4 (/ (* a (pow c 2)) (pow b 4)))))> |
#<alt (* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 6))) (* -4 (/ (pow c 2) (pow b 4)))))))> |
#<alt (* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -4 (/ (pow c 2) (pow b 4))) (* a (+ (* -8 (/ (pow c 3) (pow b 6))) (* -1 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow b 2)))))))))> |
#<alt (* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))> |
#<alt (* a (- (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 2 (/ 1 a))))> |
#<alt (* a (- (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 2 (/ 1 a))))> |
#<alt (* a (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4))))) (* 2 (/ 1 a))))> |
#<alt (* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))> |
#<alt (* -1 (* a (+ (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) 2) a)) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (sqrt -1))))) a)) 2) a)) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))> |
#<alt (* -4 (/ (* a c) (pow b 2)))> |
#<alt (* c (+ (* -4 (/ a (pow b 2))) (* -4 (/ (* (pow a 2) c) (pow b 4)))))> |
#<alt (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -8 (/ (* (pow a 3) c) (pow b 6))) (* -4 (/ (pow a 2) (pow b 4)))))))> |
#<alt (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -4 (/ (pow a 2) (pow b 4))) (* c (+ (* -8 (/ (pow a 3) (pow b 6))) (* -1 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow b 2)))))))))> |
#<alt (* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))> |
#<alt (* c (- (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* 2 (/ 1 c))))> |
#<alt (* c (- (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 2 (/ 1 c))))> |
#<alt (* c (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))) (* 2 (/ 1 c))))> |
#<alt (* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))> |
#<alt (* -1 (* c (+ (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (* 2 (/ 1 c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) 2) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1))))) c)) 2) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))> |
#<alt (* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) b)> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) b)> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)> |
#<alt 2> |
#<alt (+ 2 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (+ 2 (+ (* -4 (/ (* a c) (pow b 2))) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))> |
#<alt (+ 2 (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* a c) (pow b 2))) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt -2> |
#<alt (- (* 4 (/ (* a c) (pow b 2))) 2)> |
#<alt (- (+ (* 4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 2)> |
#<alt (- (+ (* 4 (/ (* a c) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2)> |
#<alt 2> |
#<alt (+ 2 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (+ 2 (* a (+ (* -4 (/ c (pow b 2))) (* -4 (/ (* a (pow c 2)) (pow b 4))))))> |
#<alt (+ 2 (* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 6))) (* -4 (/ (pow c 2) (pow b 4))))))))> |
#<alt (* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))> |
#<alt (* a (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))))> |
#<alt (* a (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4))))))> |
#<alt (* a (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))))))> |
#<alt (* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))> |
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))> |
#<alt (* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))> |
#<alt (* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))> |
#<alt 2> |
#<alt (+ 2 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* -4 (/ (* (pow a 2) c) (pow b 4))))))> |
#<alt (+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -8 (/ (* (pow a 3) c) (pow b 6))) (* -4 (/ (pow a 2) (pow b 4))))))))> |
#<alt (* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))> |
#<alt (* c (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))))> |
#<alt (* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))))> |
#<alt (* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))))))> |
#<alt (* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))> |
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))> |
#<alt (* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))> |
#<alt (* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* 4 (/ a b))> |
#<alt (* -4 (* a c))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | c | @ | 0 | (/ (- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) (* a 2)) |
| 3.0ms | b | @ | inf | (* 2 (/ (* a 2) b)) |
| 3.0ms | b | @ | 0 | (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
| 3.0ms | c | @ | inf | (/ (- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) (* a 2)) |
| 3.0ms | c | @ | 0 | (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
| 1× | batch-egg-rewrite |
| 4646× | *-lowering-*.f32 |
| 4646× | *-lowering-*.f64 |
| 2824× | /-lowering-/.f32 |
| 2824× | /-lowering-/.f64 |
| 2312× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 233 |
| 1 | 250 | 210 |
| 2 | 2321 | 205 |
| 0 | 9501 | 205 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))) |
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(/ b (neg a)) |
(neg a) |
(/ (- (+ b (* a (* (/ c b) -2))) b) (* a 2)) |
(- (+ b (* a (* (/ c b) -2))) b) |
(+ b (* a (* (/ c b) -2))) |
(* a (* (/ c b) -2)) |
(/ (- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) (* a 2)) |
(- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) |
(* b (+ 1 (/ (* a (* (/ c b) -2)) b))) |
(+ 1 (/ (* a (* (/ c b) -2)) b)) |
(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b)) 2) (* 2 (/ (* a 2) b))) |
(- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b)) 2) |
(* (/ (sqrt (+ (* b b) (* a (* c -4)))) a) (/ (* a 2) b)) |
(* 2 (/ (* a 2) b)) |
(+ (* b b) (* a (* c -4))) |
(* (/ c b) -2) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) #s(literal 1 binary64))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) |
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(fma.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
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(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b)) a) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)))) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b))) (*.f64 b (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (+.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b)) #s(literal 1 binary64)) (*.f64 a #s(literal 2 binary64))) |
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(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b)) #s(literal 2 binary64)) a) |
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(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b)) a)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b)) a)) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b)) (*.f64 a #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b))) |
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(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 b b)) a) #s(literal 1/2 binary64)) |
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(fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c b)) (-.f64 b b)) |
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(fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c b) (-.f64 b b)) |
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(fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c b) b) |
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(*.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a (/.f64 c b)) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (-.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) b))))) |
(*.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b))))) (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (/.f64 c b)) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) #s(literal -8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b)) #s(literal 1 binary64)) (/.f64 (/.f64 b a) (/.f64 (*.f64 c #s(literal -2 binary64)) b)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (/.f64 a b))))) |
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 (*.f64 #s(literal 4 binary64) a) b)) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 (*.f64 #s(literal 4 binary64) a) b)) (neg.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) a))))) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) a))))) |
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(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal 2 binary64)) (neg.f64 (*.f64 b (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) a))))) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) a))))) |
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(+.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)))) |
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(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
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(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 (*.f64 #s(literal 4 binary64) a) b)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
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(fma.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 #s(literal 4 binary64) a) b)))) (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))))) #s(literal -8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a) #s(literal 2 binary64))) #s(literal -4 binary64)))) |
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))))) #s(literal -8 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 #s(literal 4 binary64) a) b))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))))) #s(literal -8 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b (*.f64 a #s(literal 2 binary64)))) #s(literal -2 binary64))))) |
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a) #s(literal 2 binary64))) #s(literal -4 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b (*.f64 a #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))))) #s(literal -8 binary64))) (neg.f64 (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 #s(literal 4 binary64) a) b)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a) #s(literal 2 binary64))) #s(literal -4 binary64))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 #s(literal 4 binary64) a) b)))) (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))))) #s(literal -8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a) #s(literal 2 binary64))) #s(literal -4 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 #s(literal 4 binary64) a) b)))))) |
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a) #s(literal 2 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (*.f64 a #s(literal 2 binary64)))))) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 a b)) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) a) b) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) a) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)) (*.f64 a (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) (*.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b (/.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 b (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) b) a)) |
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) (neg.f64 (*.f64 a b))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) a)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal 1 binary64)) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (*.f64 a #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) #s(literal 1 binary64)) (/.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a)) (-.f64 #s(literal 0 binary64) b)) |
(pow.f64 (*.f64 (/.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a b) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 a (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a b))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) a)) |
(*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) |
(*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) a) (/.f64 #s(literal 2 binary64) b)) |
(/.f64 #s(literal 2 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 4 binary64) a))) |
(/.f64 (*.f64 #s(literal 4 binary64) a) b) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b)) |
(pow.f64 (/.f64 b (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 (/.f64 #s(literal 2 binary64) b) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) |
(*.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) b)) |
(*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) |
(exp.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1/2 binary64))) |
(fabs.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) |
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) #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 -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal -2 binary64) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -2 binary64)))) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(/.f64 (neg.f64 (*.f64 c #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) c)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) b)) |
(pow.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) #s(literal -1 binary64)) |
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -2 binary64))) |
(*.f64 c (/.f64 #s(literal -2 binary64) b)) |
(*.f64 (/.f64 c b) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 c b)) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
| 1× | egg-herbie |
| 7018× | *-lowering-*.f32 |
| 7018× | *-lowering-*.f64 |
| 4616× | +-lowering-+.f64 |
| 4616× | +-lowering-+.f32 |
| 1418× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1099 | 9469 |
| 1 | 4025 | 8967 |
| 0 | 8686 | 8967 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c))) |
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(* -1/2 (/ b c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))) |
(* -1/2 (/ a b)) |
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
b |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* -2 (/ (* a c) b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* -2 (/ (* a c) b)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
b |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* -2 (/ (* a c) b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* -2 (/ (* a c) b)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
1 |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* a (+ (* -2 (/ c (pow b 2))) (/ 1 a))) |
(* a (+ (* -2 (/ c (pow b 2))) (/ 1 a))) |
(* a (+ (* -2 (/ c (pow b 2))) (/ 1 a))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a)))) |
1 |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* c (+ (* -2 (/ a (pow b 2))) (/ 1 c))) |
(* c (+ (* -2 (/ a (pow b 2))) (/ 1 c))) |
(* c (+ (* -2 (/ a (pow b 2))) (/ 1 c))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c)))) |
(* -2 (/ (* a c) (pow b 2))) |
(/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2)) |
(/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2)) |
(/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2)) |
1 |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
1 |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(+ 1 (* -2 (/ (* a c) (pow b 2)))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b))) |
(/ (+ (* -2 b) (* 2 (* (sqrt (* a c)) (sqrt -4)))) b) |
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))) 2))) b) |
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))) 2))) b) |
(* -4 (/ (* a c) (pow b 2))) |
(/ (+ (* -4 (* a c)) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (pow b 2)) |
(/ (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -4 (* a c)) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (pow b 2)) |
(/ (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -4 (* a c)) (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) (pow b 2)) |
-4 |
(- (* 4 (/ (* a c) (pow b 2))) 4) |
(- (+ (* 4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 4) |
(- (+ (* 4 (/ (* a c) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 4) |
(* -4 (/ (* a c) (pow b 2))) |
(* a (+ (* -4 (/ c (pow b 2))) (* -4 (/ (* a (pow c 2)) (pow b 4))))) |
(* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 6))) (* -4 (/ (pow c 2) (pow b 4))))))) |
(* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -4 (/ (pow c 2) (pow b 4))) (* a (+ (* -8 (/ (pow c 3) (pow b 6))) (* -1 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow b 2))))))))) |
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b))) |
(* a (- (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 2 (/ 1 a)))) |
(* a (- (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 2 (/ 1 a)))) |
(* a (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4))))) (* 2 (/ 1 a)))) |
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b))) |
(* -1 (* a (+ (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 2 (/ 1 a))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) 2) a)) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (sqrt -1))))) a)) 2) a)) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))) |
(* -4 (/ (* a c) (pow b 2))) |
(* c (+ (* -4 (/ a (pow b 2))) (* -4 (/ (* (pow a 2) c) (pow b 4))))) |
(* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -8 (/ (* (pow a 3) c) (pow b 6))) (* -4 (/ (pow a 2) (pow b 4))))))) |
(* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -4 (/ (pow a 2) (pow b 4))) (* c (+ (* -8 (/ (pow a 3) (pow b 6))) (* -1 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow b 2))))))))) |
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b))) |
(* c (- (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* 2 (/ 1 c)))) |
(* c (- (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 2 (/ 1 c)))) |
(* c (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))) (* 2 (/ 1 c)))) |
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b))) |
(* -1 (* c (+ (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (* 2 (/ 1 c))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) 2) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1))))) c)) 2) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))) |
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b))) |
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) b) |
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) b) |
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b) |
2 |
(+ 2 (* -4 (/ (* a c) (pow b 2)))) |
(+ 2 (+ (* -4 (/ (* a c) (pow b 2))) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(+ 2 (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* a c) (pow b 2))) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
-2 |
(- (* 4 (/ (* a c) (pow b 2))) 2) |
(- (+ (* 4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 2) |
(- (+ (* 4 (/ (* a c) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2) |
2 |
(+ 2 (* -4 (/ (* a c) (pow b 2)))) |
(+ 2 (* a (+ (* -4 (/ c (pow b 2))) (* -4 (/ (* a (pow c 2)) (pow b 4)))))) |
(+ 2 (* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 6))) (* -4 (/ (pow c 2) (pow b 4)))))))) |
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b))) |
(* a (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4))))) |
(* a (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))))) |
(* a (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4))))))) |
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))) |
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))) |
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))) |
2 |
(+ 2 (* -4 (/ (* a c) (pow b 2)))) |
(+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* -4 (/ (* (pow a 2) c) (pow b 4)))))) |
(+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -8 (/ (* (pow a 3) c) (pow b 6))) (* -4 (/ (pow a 2) (pow b 4)))))))) |
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b))) |
(* c (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))))) |
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))) |
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))) |
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* 4 (/ a b)) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
| Outputs |
|---|
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (/.f64 (*.f64 a (*.f64 c c)) (neg.f64 (*.f64 b (*.f64 b b)))) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (+.f64 (+.f64 (*.f64 #s(literal -1/16 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 -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a)) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/16 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 (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) c) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) a))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) b) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
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b |
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b |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* -4 (/ (* a c) (pow b 2))) |
(*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) |
(/ (+ (* -4 (* a c)) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (pow b 2)) |
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(/ (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -4 (* a c)) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (pow b 2)) |
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#s(literal -4 binary64) |
(- (* 4 (/ (* a c) (pow b 2))) 4) |
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(- (+ (* 4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 4) |
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(* -4 (/ (* a c) (pow b 2))) |
(*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) |
(* a (+ (* -4 (/ c (pow b 2))) (* -4 (/ (* a (pow c 2)) (pow b 4))))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))) |
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(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))) |
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) b) |
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(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) b) |
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(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -4 (/ (* a c) (pow b 2)))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))) |
(+ 2 (+ (* -4 (/ (* a c) (pow b 2))) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
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(+ 2 (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* a c) (pow b 2))) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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-2 |
#s(literal -2 binary64) |
(- (* 4 (/ (* a c) (pow b 2))) 2) |
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 b b)) #s(literal -2 binary64)) |
(- (+ (* 4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 2) |
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(- (+ (* 4 (/ (* a c) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -4 (/ (* a c) (pow b 2)))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))) |
(+ 2 (* a (+ (* -4 (/ c (pow b 2))) (* -4 (/ (* a (pow c 2)) (pow b 4)))))) |
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(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))) |
(* a (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4))))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))))) |
(* a (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))))) |
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(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b))) |
(*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))) |
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(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))) |
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(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -4 (/ (* a c) (pow b 2)))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))))) |
(+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* -4 (/ (* (pow a 2) c) (pow b 4)))))) |
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(+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -8 (/ (* (pow a 3) c) (pow b 6))) (* -4 (/ (pow a 2) (pow b 4)))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))))) |
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))) |
(* c (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))))) |
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(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))))) |
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(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b))) |
(*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))) |
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(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))) |
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(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* 4 (/ a b)) |
(/.f64 (*.f64 a #s(literal 4 binary64)) b) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) b) |
Compiled 39480 to 3668 computations (90.7% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1433 | 15 | 1448 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1439 | 25 | 1464 |
| Status | Accuracy | Program |
|---|---|---|
| 23.4% | (/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) | |
| 30.7% | (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/4 binary64)) b) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 14.0% | (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) (*.f64 a #s(literal 2 binary64))) |
| 6.9% | (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) | |
| 20.0% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) | |
| 8.8% | (/.f64 (-.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) | |
| 15.4% | (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) b) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 25.2% | (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) |
| 20.0% | (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) | |
| 34.0% | (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 4 binary64) a) b)) | |
| 36.7% | (/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) | |
| ✓ | 37.0% | (/.f64 b (neg.f64 a)) |
| 36.9% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) | |
| 38.3% | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b))) c)) | |
| 38.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) | |
| ✓ | 47.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| 25.1% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) | |
| 30.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))) | |
| 39.7% | (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) | |
| 38.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))) | |
| 38.9% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| ▶ | 47.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ▶ | 36.9% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| ▶ | 36.5% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| 16.6% | (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) |
Compiled 984 to 580 computations (41.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal -4 binary64) (*.f64 c a)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b))) |
| ✓ | cost-diff | 0 | (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) |
| ✓ | cost-diff | 256 | (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 c (*.f64 b b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) |
| ✓ | cost-diff | 384 | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| 1854× | sum3-define |
| 1422× | fnmadd-define |
| 1254× | fmsub-define |
| 1174× | *-lowering-*.f32 |
| 1174× | *-lowering-*.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 208 |
| 1 | 84 | 199 |
| 2 | 206 | 193 |
| 3 | 537 | 190 |
| 4 | 1545 | 186 |
| 5 | 4245 | 184 |
| 0 | 8196 | 184 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1/2 a) (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(/ 1/2 a) |
1/2 |
a |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
(* c -4) |
c |
-4 |
(* (/ -1 a) b) |
(/ -1 a) |
-1 |
a |
b |
(* (- (/ 1 a) (/ c (* b b))) (- 0 b)) |
(- (/ 1 a) (/ c (* b b))) |
(/ 1 a) |
1 |
a |
(/ c (* b b)) |
c |
(* b b) |
b |
(- 0 b) |
0 |
(/ (- (+ b (* a (* c (/ -2 b)))) b) (* a 2)) |
(- (+ b (* a (* c (/ -2 b)))) b) |
(+ b (* a (* c (/ -2 b)))) |
b |
(* a (* c (/ -2 b))) |
a |
(* c (/ -2 b)) |
c |
(/ -2 b) |
-2 |
(* a 2) |
2 |
(/ (- (sqrt (* -4 (* c a))) b) (* a 2)) |
(- (sqrt (* -4 (* c a))) b) |
(sqrt (* -4 (* c a))) |
(* -4 (* c a)) |
-4 |
(* c a) |
c |
a |
b |
(* a 2) |
2 |
| Outputs |
|---|
(* (/ 1/2 a) (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
(* (/ -1 a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
-1 |
#s(literal -1 binary64) |
a |
b |
(* (- (/ 1 a) (/ c (* b b))) (- 0 b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ 1 a) (/ c (* b b))) |
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 c b) b)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
a |
(/ c (* b b)) |
(/.f64 (/.f64 c b) b) |
c |
(* b b) |
(*.f64 b b) |
b |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
0 |
#s(literal 0 binary64) |
(/ (- (+ b (* a (* c (/ -2 b)))) b) (* a 2)) |
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(- (+ b (* a (* c (/ -2 b)))) b) |
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
(+ b (* a (* c (/ -2 b)))) |
(+.f64 b (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) |
b |
(* a (* c (/ -2 b))) |
(*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)) |
a |
(* c (/ -2 b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
c |
(/ -2 b) |
(/.f64 #s(literal -2 binary64) b) |
-2 |
#s(literal -2 binary64) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (- (sqrt (* -4 (* c a))) b) (* a 2)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(- (sqrt (* -4 (* c a))) b) |
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) |
(sqrt (* -4 (* c a))) |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* c a)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
-4 |
#s(literal -4 binary64) |
(* c a) |
(*.f64 a c) |
c |
a |
b |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -4 binary64) (*.f64 c a)) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 83.2% | (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
| ✓ | accuracy | 99.8% | (*.f64 c (/.f64 #s(literal -2 binary64) b)) |
| ✓ | accuracy | 96.0% | (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b))) |
| ✓ | accuracy | 89.8% | (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 81.7% | (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) |
| ✓ | accuracy | 93.3% | (/.f64 c (*.f64 b b)) |
| ✓ | accuracy | 92.9% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) a) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 95.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ✓ | accuracy | 91.1% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 76.0% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| 73.0ms | 50× | 2 | valid |
| 62.0ms | 100× | 0 | invalid |
| 42.0ms | 71× | 0 | valid |
| 27.0ms | 35× | 1 | valid |
Compiled 222 to 38 computations (82.9% saved)
ival-sub: 32.0ms (28.7% of total)ival-mult: 31.0ms (27.8% of total)ival-div: 19.0ms (17% of total)backward-pass: 18.0ms (16.1% of total)ival-sqrt: 6.0ms (5.4% of total)ival-add: 4.0ms (3.6% of total)const: 2.0ms (1.8% of total)| Inputs |
|---|
#<alt (* (/ 1/2 a) (- (sqrt (+ (* b b) (* a (* c -4)))) b))> |
#<alt (/ 1/2 a)> |
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)> |
#<alt (sqrt (+ (* b b) (* a (* c -4))))> |
#<alt (* (/ -1 a) b)> |
#<alt (/ -1 a)> |
#<alt (* (- (/ 1 a) (/ c (* b b))) (- 0 b))> |
#<alt (- (/ 1 a) (/ c (* b b)))> |
#<alt (/ 1 a)> |
#<alt (/ c (* b b))> |
#<alt (/ (- (+ b (* a (* c (/ -2 b)))) b) (* a 2))> |
#<alt (- (+ b (* a (* c (/ -2 b)))) b)> |
#<alt (+ b (* a (* c (/ -2 b))))> |
#<alt (* a (* c (/ -2 b)))> |
#<alt (/ (- (sqrt (* -4 (* c a))) b) (* a 2))> |
#<alt (- (sqrt (* -4 (* c a))) b)> |
#<alt (sqrt (* -4 (* c a)))> |
#<alt (* -4 (* c a))> |
#<alt (+ (* b b) (* a (* c -4)))> |
#<alt (* b b)> |
#<alt (* c (/ -2 b))> |
| Outputs |
|---|
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (/ -1 a)> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ c b)> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (/ c b)> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (/ c b)> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (/ c b)> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (/ c b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (/ 1 a)> |
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a)> |
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a)> |
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a)> |
#<alt (* -1 (/ c (pow b 2)))> |
#<alt (- (/ 1 a) (/ c (pow b 2)))> |
#<alt (- (/ 1 a) (/ c (pow b 2)))> |
#<alt (- (/ 1 a) (/ c (pow b 2)))> |
#<alt (* -1 (/ c (pow b 2)))> |
#<alt (- (/ 1 a) (/ c (pow b 2)))> |
#<alt (- (/ 1 a) (/ c (pow b 2)))> |
#<alt (- (/ 1 a) (/ c (pow b 2)))> |
#<alt (/ 1 a)> |
#<alt (+ (* -1 (/ c (pow b 2))) (/ 1 a))> |
#<alt (+ (* -1 (/ c (pow b 2))) (/ 1 a))> |
#<alt (+ (* -1 (/ c (pow b 2))) (/ 1 a))> |
#<alt (* -1 (/ c (pow b 2)))> |
#<alt (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))> |
#<alt (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))> |
#<alt (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))> |
#<alt (* -1 (/ c (pow b 2)))> |
#<alt (* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))))> |
#<alt (* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))))> |
#<alt (* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))))> |
#<alt (* -1 (/ c (pow b 2)))> |
#<alt (/ (- (/ (pow b 2) a) c) (pow b 2))> |
#<alt (/ (- (/ (pow b 2) a) c) (pow b 2))> |
#<alt (/ (- (/ (pow b 2) a) c) (pow b 2))> |
#<alt (/ 1 a)> |
#<alt (+ (* -1 (/ c (pow b 2))) (/ 1 a))> |
#<alt (+ (* -1 (/ c (pow b 2))) (/ 1 a))> |
#<alt (+ (* -1 (/ c (pow b 2))) (/ 1 a))> |
#<alt (/ 1 a)> |
#<alt (+ (* -1 (/ c (pow b 2))) (/ 1 a))> |
#<alt (+ (* -1 (/ c (pow b 2))) (/ 1 a))> |
#<alt (+ (* -1 (/ c (pow b 2))) (/ 1 a))> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 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 (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt b> |
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))> |
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))> |
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))> |
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))> |
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))> |
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))> |
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -1 b)> |
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))> |
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))> |
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))> |
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))> |
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
#<alt (* -2 (/ c b))> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | inf | (sqrt (* -4 (* c a))) |
| 1.0ms | c | @ | 0 | (/ (- (sqrt (* -4 (* c a))) b) (* a 2)) |
| 1.0ms | a | @ | 0 | (/ (- (sqrt (* -4 (* c a))) b) (* a 2)) |
| 1.0ms | c | @ | 0 | (* (- (/ 1 a) (/ c (* b b))) (- 0 b)) |
| 1.0ms | b | @ | 0 | (* (- (/ 1 a) (/ c (* b b))) (- 0 b)) |
| 1× | batch-egg-rewrite |
| 1204× | *-lowering-*.f32 |
| 1204× | *-lowering-*.f64 |
| 1090× | /-lowering-/.f32 |
| 1090× | /-lowering-/.f64 |
| 484× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 157 |
| 1 | 215 | 149 |
| 0 | 2184 | 149 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1/2 a) (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(/ 1/2 a) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(* (/ -1 a) b) |
(/ -1 a) |
(* (- (/ 1 a) (/ c (* b b))) (- 0 b)) |
(- (/ 1 a) (/ c (* b b))) |
(/ 1 a) |
(/ c (* b b)) |
(/ (- (+ b (* a (* c (/ -2 b)))) b) (* a 2)) |
(- (+ b (* a (* c (/ -2 b)))) b) |
(+ b (* a (* c (/ -2 b)))) |
(* a (* c (/ -2 b))) |
(/ (- (sqrt (* -4 (* c a))) b) (* a 2)) |
(- (sqrt (* -4 (* c a))) b) |
(sqrt (* -4 (* c a))) |
(* -4 (* c a)) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
(* c (/ -2 b)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 a (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
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(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) a) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 a #s(literal 1/2 binary64))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) (neg.f64 (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) a)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 a #s(literal 1/2 binary64)))) (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 a #s(literal 1/2 binary64)))) (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) (+.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) #s(literal 1 binary64)) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) #s(literal 2 binary64)) a) |
(pow.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (/.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) a) #s(literal 1/2 binary64)) |
(+.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) b)) |
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) |
(-.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(-.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 0 binary64)) b) |
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (neg.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 3 binary64))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) b))))) |
(/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (*.f64 a c) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64))) |
(*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) |
(*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) |
(pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) #s(literal 1/2 binary64)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 c (*.f64 #s(literal -4 binary64) a)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(*.f64 (*.f64 c #s(literal -4 binary64)) a) |
(*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (*.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 (*.f64 #s(literal -4 binary64) a) c) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 #s(literal -4 binary64))) (pow.f64 (*.f64 a c) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) |
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) |
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))) (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (neg.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(+.f64 (*.f64 b b) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 b b)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(fma.f64 b b #s(literal 0 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 0 binary64)) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) #s(literal 0 binary64))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 0 binary64) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 0 binary64)) (-.f64 (*.f64 b b) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(pow.f64 b #s(literal 2 binary64)) |
(*.f64 b b) |
(*.f64 (*.f64 b b) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 b b)) |
(*.f64 (*.f64 #s(literal 1 binary64) b) b) |
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64))) |
(/.f64 c (/.f64 b #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal -2 binary64)))) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(/.f64 (*.f64 #s(literal 1 binary64) c) (/.f64 b #s(literal -2 binary64))) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 b #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 c #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 c (/.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) c) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
| 1× | egg-herbie |
| 6608× | *-lowering-*.f32 |
| 6608× | *-lowering-*.f64 |
| 3214× | +-lowering-+.f64 |
| 3214× | +-lowering-+.f32 |
| 1892× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 607 | 6286 |
| 1 | 2094 | 5921 |
| 2 | 7598 | 5909 |
| 0 | 8545 | 5909 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(/ 1 a) |
(/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a) |
(/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a) |
(/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a) |
(* -1 (/ c (pow b 2))) |
(- (/ 1 a) (/ c (pow b 2))) |
(- (/ 1 a) (/ c (pow b 2))) |
(- (/ 1 a) (/ c (pow b 2))) |
(* -1 (/ c (pow b 2))) |
(- (/ 1 a) (/ c (pow b 2))) |
(- (/ 1 a) (/ c (pow b 2))) |
(- (/ 1 a) (/ c (pow b 2))) |
(/ 1 a) |
(+ (* -1 (/ c (pow b 2))) (/ 1 a)) |
(+ (* -1 (/ c (pow b 2))) (/ 1 a)) |
(+ (* -1 (/ c (pow b 2))) (/ 1 a)) |
(* -1 (/ c (pow b 2))) |
(* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))) |
(* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))) |
(* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))) |
(* -1 (/ c (pow b 2))) |
(* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))) |
(* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))) |
(* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))) |
(* -1 (/ c (pow b 2))) |
(/ (- (/ (pow b 2) a) c) (pow b 2)) |
(/ (- (/ (pow b 2) a) c) (pow b 2)) |
(/ (- (/ (pow b 2) a) c) (pow b 2)) |
(/ 1 a) |
(+ (* -1 (/ c (pow b 2))) (/ 1 a)) |
(+ (* -1 (/ c (pow b 2))) (/ 1 a)) |
(+ (* -1 (/ c (pow b 2))) (/ 1 a)) |
(/ 1 a) |
(+ (* -1 (/ c (pow b 2))) (/ 1 a)) |
(+ (* -1 (/ c (pow b 2))) (/ 1 a)) |
(+ (* -1 (/ c (pow b 2))) (/ 1 a)) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 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)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
b |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* -2 (/ (* a c) b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* -2 (/ (* a c) b)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(* -1/2 (/ b a)) |
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
| Outputs |
|---|
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) a)) (/.f64 (/.f64 (*.f64 c c) b) (*.f64 b b)))) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b))))) (/.f64 (/.f64 (*.f64 c c) b) (*.f64 b b)))) (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 a #s(literal 5 binary64))) (*.f64 c c))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (*.f64 c c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a)) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 a #s(literal 5 binary64))) (*.f64 c c))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) a))) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b))) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (pow.f64 b #s(literal 4 binary64))) c)) b) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 b (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c (*.f64 a a)))) #s(literal -2 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c (*.f64 b b)))))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a (/.f64 c (*.f64 #s(literal -1 binary64) (*.f64 b b)))) b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (/.f64 a b) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b a)))) (/.f64 (/.f64 a b) (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
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(/ 1/2 a) |
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(/ 1/2 a) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) |
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(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
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b |
(+ b (* -2 (/ (* a c) b))) |
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(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) (neg.f64 a)) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
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(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
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(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/ -1 a) |
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(/ -1 a) |
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(/ -1 a) |
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(/ -1 a) |
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(/ (+ (* -1 b) (/ (* a c) b)) a) |
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(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/ c b) |
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(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
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(-.f64 (/.f64 c b) (/.f64 b a)) |
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(-.f64 (/.f64 c b) (/.f64 b a)) |
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(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
(/.f64 c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a)))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
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(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
Compiled 19998 to 2052 computations (89.7% saved)
25 alts after pruning (19 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1008 | 8 | 1016 |
| Fresh | 7 | 11 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1016 | 25 | 1041 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 36.3% | (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
| 15.4% | (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b) (*.f64 a #s(literal 2 binary64))) | |
| ✓ | 14.0% | (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) (*.f64 a #s(literal 2 binary64))) |
| 6.9% | (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) | |
| 8.8% | (/.f64 (-.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) | |
| 16.2% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64))) | |
| 20.5% | (/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) | |
| ✓ | 25.2% | (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) |
| 23.9% | (/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) | |
| ▶ | 12.4% | (/.f64 c b) |
| ✓ | 37.0% | (/.f64 b (neg.f64 a)) |
| 36.9% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) | |
| 38.3% | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b))) c)) | |
| 38.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) | |
| ✓ | 47.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| 25.1% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) | |
| 30.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))) | |
| ▶ | 39.7% | (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
| ▶ | 38.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))) |
| 38.9% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| 36.0% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) | |
| ✓ | 47.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ▶ | 25.1% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
| ✓ | 36.9% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| 16.6% | (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) |
Compiled 778 to 470 computations (39.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)) |
| ✓ | cost-diff | 256 | (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))) |
| ✓ | cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))) |
| ✓ | cost-diff | 0 | (*.f64 c a) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c a) b) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (*.f64 c a) b) b) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
| ✓ | cost-diff | 0 | (/.f64 c b) |
| ✓ | cost-diff | 0 | (*.f64 b #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
| 3652× | *-lowering-*.f32 |
| 3652× | *-lowering-*.f64 |
| 1720× | /-lowering-/.f32 |
| 1720× | /-lowering-/.f64 |
| 1444× | sum4-define |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 172 |
| 1 | 66 | 166 |
| 2 | 140 | 166 |
| 3 | 274 | 166 |
| 4 | 477 | 165 |
| 5 | 832 | 157 |
| 6 | 2946 | 155 |
| 7 | 6754 | 155 |
| 0 | 8439 | 155 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 (+ (/ (* b -1/2) c) (/ (* a 1/2) b))) |
1/2 |
(+ (/ (* b -1/2) c) (/ (* a 1/2) b)) |
(/ (* b -1/2) c) |
(* b -1/2) |
b |
-1/2 |
c |
(/ (* a 1/2) b) |
(* a 1/2) |
a |
(/ c b) |
c |
b |
(/ (- (/ (* c a) b) b) a) |
(- (/ (* c a) b) b) |
(/ (* c a) b) |
(* c a) |
c |
a |
b |
(/ 1/2 (* b (+ (* 1/2 (/ a (* b b))) (/ -1/2 c)))) |
1/2 |
(* b (+ (* 1/2 (/ a (* b b))) (/ -1/2 c))) |
b |
(+ (* 1/2 (/ a (* b b))) (/ -1/2 c)) |
(* 1/2 (/ a (* b b))) |
(/ a (* b b)) |
a |
(* b b) |
(/ -1/2 c) |
-1/2 |
c |
(* (/ 1/2 a) (- (sqrt (* c (* a -4))) b)) |
(/ 1/2 a) |
1/2 |
a |
(- (sqrt (* c (* a -4))) b) |
(sqrt (* c (* a -4))) |
(* c (* a -4)) |
c |
(* a -4) |
-4 |
b |
| Outputs |
|---|
(/ 1/2 (+ (/ (* b -1/2) c) (/ (* a 1/2) b))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
1/2 |
#s(literal 1/2 binary64) |
(+ (/ (* b -1/2) c) (/ (* a 1/2) b)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(/ (* b -1/2) c) |
(/.f64 (*.f64 b #s(literal -1/2 binary64)) c) |
(* b -1/2) |
(*.f64 b #s(literal -1/2 binary64)) |
b |
-1/2 |
#s(literal -1/2 binary64) |
c |
(/ (* a 1/2) b) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* a 1/2) |
(*.f64 #s(literal 1/2 binary64) a) |
a |
(/ c b) |
(/.f64 c b) |
c |
b |
(/ (- (/ (* c a) b) b) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ (* c a) b) b) |
(-.f64 (/.f64 (*.f64 c a) b) b) |
(/ (* c a) b) |
(/.f64 (*.f64 c a) b) |
(* c a) |
(*.f64 c a) |
c |
a |
b |
(/ 1/2 (* b (+ (* 1/2 (/ a (* b b))) (/ -1/2 c)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
1/2 |
#s(literal 1/2 binary64) |
(* b (+ (* 1/2 (/ a (* b b))) (/ -1/2 c))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
b |
(+ (* 1/2 (/ a (* b b))) (/ -1/2 c)) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) b) b) (/.f64 #s(literal -1/2 binary64) c)) |
(* 1/2 (/ a (* b b))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) b) b) |
(/ a (* b b)) |
(/.f64 (/.f64 a b) b) |
a |
(* b b) |
(*.f64 b b) |
(/ -1/2 c) |
(/.f64 #s(literal -1/2 binary64) c) |
-1/2 |
#s(literal -1/2 binary64) |
c |
(* (/ 1/2 a) (- (sqrt (* c (* a -4))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(- (sqrt (* c (* a -4))) b) |
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) |
(sqrt (* c (* a -4))) |
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* c (* a -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
b |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal -4 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
| ✓ | accuracy | 83.2% | (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))) |
| ✓ | accuracy | 94.1% | (/.f64 a (*.f64 b b)) |
| ✓ | accuracy | 90.4% | (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))) |
| ✓ | accuracy | 100.0% | (*.f64 c a) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (*.f64 c a) b) b) |
| ✓ | accuracy | 96.3% | (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
| ✓ | accuracy | 95.3% | (/.f64 (*.f64 c a) b) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 100.0% | (*.f64 b #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
| 64.0ms | 100× | 0 | invalid |
| 47.0ms | 156× | 0 | valid |
Compiled 185 to 31 computations (83.2% saved)
ival-div: 44.0ms (57.9% of total)ival-mult: 21.0ms (27.6% of total)ival-add: 6.0ms (7.9% of total)ival-sub: 3.0ms (3.9% of total)ival-sqrt: 2.0ms (2.6% of total)const: 1.0ms (1.3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1/2 (+ (/ (* b -1/2) c) (/ (* a 1/2) b)))> |
#<alt (+ (/ (* b -1/2) c) (/ (* a 1/2) b))> |
#<alt (/ (* b -1/2) c)> |
#<alt (* b -1/2)> |
#<alt (/ c b)> |
#<alt (/ (- (/ (* c a) b) b) a)> |
#<alt (- (/ (* c a) b) b)> |
#<alt (/ (* c a) b)> |
#<alt (* c a)> |
#<alt (/ 1/2 (* b (+ (* 1/2 (/ a (* b b))) (/ -1/2 c))))> |
#<alt (* b (+ (* 1/2 (/ a (* b b))) (/ -1/2 c)))> |
#<alt (+ (* 1/2 (/ a (* b b))) (/ -1/2 c))> |
#<alt (* 1/2 (/ a (* b b)))> |
#<alt (* (/ 1/2 a) (- (sqrt (* c (* a -4))) b))> |
#<alt (/ 1/2 a)> |
#<alt (- (sqrt (* c (* a -4))) b)> |
#<alt (sqrt (* c (* a -4)))> |
#<alt (* a 1/2)> |
#<alt (/ a (* b b))> |
#<alt (* a -4)> |
| Outputs |
|---|
#<alt (/ b a)> |
#<alt (* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c))))> |
#<alt (* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a)))> |
#<alt (* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (- (+ (* -1 c) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (/ (* a (pow c 2)) (pow b 2))) b)> |
#<alt (/ (- (+ (* -1 c) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))) (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b)> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (- (+ c (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (- (+ c (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))> |
#<alt (* c (- (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b 7))) (/ (pow a 2) (pow b 5)))) (/ a (pow b 3)))) (/ 1 b)))> |
#<alt (/ b a)> |
#<alt (+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))> |
#<alt (- (+ (/ b a) (/ (pow b 5) (* (pow a 3) (pow c 2)))) (* -1 (/ (pow b 3) (* (pow a 2) c))))> |
#<alt (- (+ (/ b a) (/ (pow b 7) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) c))) (* -1 (/ (pow b 5) (* (pow a 3) (pow c 2))))))> |
#<alt (/ b a)> |
#<alt (+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)) (/ b a))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b 7) (* (pow a 4) c)) (* -1 (/ (pow b 5) (pow a 3)))) c)) (/ (pow b 3) (pow a 2))) c)) (/ b a))> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (- (* -1 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))))> |
#<alt (+ (* -1 (/ c b)) (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b 7))) (/ (pow c 3) (pow b 5)))) (/ (pow c 2) (pow b 3)))))> |
#<alt (/ b a)> |
#<alt (/ (+ b (/ (pow b 3) (* a c))) a)> |
#<alt (/ (- (+ b (/ (pow b 5) (* (pow a 2) (pow c 2)))) (* -1 (/ (pow b 3) (* a c)))) a)> |
#<alt (/ (- (+ b (/ (pow b 7) (* (pow a 3) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* a c))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) a)> |
#<alt (/ b a)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (- (/ (pow b 5) (* a (pow c 2))) (* -1 (/ (pow b 3) c))) a))) a))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 7) (* a (pow c 3)))) (/ (pow b 5) (pow c 2))) a)) (* -1 (/ (pow b 3) c))) a))) a))> |
#<alt (* 1/2 (/ a b))> |
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)> |
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)> |
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)> |
#<alt (* -1/2 (/ b c))> |
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))> |
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))> |
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))> |
#<alt (* -1/2 (/ b c))> |
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)> |
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)> |
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)> |
#<alt (* 1/2 (/ a b))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (* 1/2 (/ a b))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (* -1/2 (/ b c))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))> |
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))> |
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))> |
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))> |
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (/ c b)> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (/ c b)> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ c b)> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (/ c b)> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (/ c b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 b)> |
#<alt (- (/ (* a c) b) b)> |
#<alt (- (/ (* a c) b) b)> |
#<alt (- (/ (* a c) b) b)> |
#<alt (/ (* a c) b)> |
#<alt (* c (+ (* -1 (/ b c)) (/ a b)))> |
#<alt (* c (+ (* -1 (/ b c)) (/ a b)))> |
#<alt (* c (+ (* -1 (/ b c)) (/ a b)))> |
#<alt (/ (* a c) b)> |
#<alt (* -1 (* c (+ (* -1 (/ a b)) (/ b c))))> |
#<alt (* -1 (* c (+ (* -1 (/ a b)) (/ b c))))> |
#<alt (* -1 (* c (+ (* -1 (/ a b)) (/ b c))))> |
#<alt (* -1 b)> |
#<alt (- (/ (* a c) b) b)> |
#<alt (- (/ (* a c) b) b)> |
#<alt (- (/ (* a c) b) b)> |
#<alt (/ (* a c) b)> |
#<alt (* a (+ (* -1 (/ b a)) (/ c b)))> |
#<alt (* a (+ (* -1 (/ b a)) (/ c b)))> |
#<alt (* a (+ (* -1 (/ b a)) (/ c b)))> |
#<alt (/ (* a c) b)> |
#<alt (* -1 (* a (+ (* -1 (/ c b)) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ c b)) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ c b)) (/ b a))))> |
#<alt (/ (* a c) b)> |
#<alt (/ (+ (* -1 (pow b 2)) (* a c)) b)> |
#<alt (/ (+ (* -1 (pow b 2)) (* a c)) b)> |
#<alt (/ (+ (* -1 (pow b 2)) (* a c)) b)> |
#<alt (* -1 b)> |
#<alt (* b (- (/ (* a c) (pow b 2)) 1))> |
#<alt (* b (- (/ (* a c) (pow b 2)) 1))> |
#<alt (* b (- (/ (* a c) (pow b 2)) 1))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (/ b a)> |
#<alt (* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c))))> |
#<alt (* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a)))> |
#<alt (* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)> |
#<alt (/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b))> |
#<alt (* -1 (/ (+ c (+ (/ (* a (pow c 2)) (pow b 2)) (+ (/ (* (pow a 2) (pow c 3)) (pow b 4)) (/ (* (pow a 3) (pow c 4)) (pow b 6))))) b))> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (- (* -1 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))))> |
#<alt (+ (* -1 (/ c b)) (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b 7))) (/ (pow c 3) (pow b 5)))) (/ (pow c 2) (pow b 3)))))> |
#<alt (/ b a)> |
#<alt (/ (+ b (/ (pow b 3) (* a c))) a)> |
#<alt (/ (- (+ b (/ (pow b 5) (* (pow a 2) (pow c 2)))) (* -1 (/ (pow b 3) (* a c)))) a)> |
#<alt (/ (- (+ b (/ (pow b 7) (* (pow a 3) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* a c))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) a)> |
#<alt (/ b a)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (- (/ (pow b 5) (* a (pow c 2))) (* -1 (/ (pow b 3) c))) a))) a))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 7) (* a (pow c 3)))) (/ (pow b 5) (pow c 2))) a)) (* -1 (/ (pow b 3) c))) a))) a))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))> |
#<alt (* c (- (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b 7))) (/ (pow a 2) (pow b 5)))) (/ a (pow b 3)))) (/ 1 b)))> |
#<alt (/ b a)> |
#<alt (+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))> |
#<alt (- (+ (/ b a) (/ (pow b 5) (* (pow a 3) (pow c 2)))) (* -1 (/ (pow b 3) (* (pow a 2) c))))> |
#<alt (- (+ (/ b a) (/ (pow b 7) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) c))) (* -1 (/ (pow b 5) (* (pow a 3) (pow c 2))))))> |
#<alt (/ b a)> |
#<alt (+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)) (/ b a))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b 7) (* (pow a 4) c)) (* -1 (/ (pow b 5) (pow a 3)))) c)) (/ (pow b 3) (pow a 2))) c)) (/ b a))> |
#<alt (* 1/2 (/ a b))> |
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)> |
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)> |
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)> |
#<alt (* -1/2 (/ b c))> |
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))> |
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))> |
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))> |
#<alt (* -1/2 (/ b c))> |
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))> |
#<alt (* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))> |
#<alt (* -1/2 (/ b c))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))> |
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))> |
#<alt (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))> |
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))> |
#<alt (* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))> |
#<alt (* -1/2 (/ b c))> |
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)> |
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)> |
#<alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)> |
#<alt (* 1/2 (/ a b))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (* 1/2 (/ a b))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))> |
#<alt (/ -1/2 c)> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* a (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))> |
#<alt (* a (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))> |
#<alt (* a (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* -1 (* a (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))> |
#<alt (* -1 (* a (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))> |
#<alt (* -1 (* a (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) (pow b 2))> |
#<alt (/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) (pow b 2))> |
#<alt (/ -1/2 c)> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (/ -1/2 c)> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (/ -1/2 c)> |
#<alt (/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c)> |
#<alt (/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c)> |
#<alt (/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c)> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ a (pow b 2)))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -1 b)> |
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))> |
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))> |
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))> |
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))> |
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (* 1/2 a)> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (/ a (pow b 2))> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | a | @ | 0 | (/ (- (/ (* c a) b) b) a) |
| 4.0ms | a | @ | inf | (* a -4) |
| 1.0ms | b | @ | 0 | (/ 1/2 (+ (/ (* b -1/2) c) (/ (* a 1/2) b))) |
| 1.0ms | b | @ | inf | (/ 1/2 (+ (/ (* b -1/2) c) (/ (* a 1/2) b))) |
| 1.0ms | b | @ | inf | (/ 1/2 (* b (+ (* 1/2 (/ a (* b b))) (/ -1/2 c)))) |
| 1× | batch-egg-rewrite |
| 3244× | /-lowering-/.f32 |
| 3244× | /-lowering-/.f64 |
| 3122× | *-lowering-*.f32 |
| 3122× | *-lowering-*.f64 |
| 2126× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 137 |
| 1 | 181 | 133 |
| 2 | 1771 | 133 |
| 0 | 8687 | 133 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/2 (+ (/ (* b -1/2) c) (/ (* a 1/2) b))) |
(+ (/ (* b -1/2) c) (/ (* a 1/2) b)) |
(/ (* b -1/2) c) |
(* b -1/2) |
(/ c b) |
(/ (- (/ (* c a) b) b) a) |
(- (/ (* c a) b) b) |
(/ (* c a) b) |
(* c a) |
(/ 1/2 (* b (+ (* 1/2 (/ a (* b b))) (/ -1/2 c)))) |
(* b (+ (* 1/2 (/ a (* b b))) (/ -1/2 c))) |
(+ (* 1/2 (/ a (* b b))) (/ -1/2 c)) |
(* 1/2 (/ a (* b b))) |
(* (/ 1/2 a) (- (sqrt (* c (* a -4))) b)) |
(/ 1/2 a) |
(- (sqrt (* c (* a -4))) b) |
(sqrt (* c (* a -4))) |
(* a 1/2) |
(/ a (* b b)) |
(* a -4) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b))))) |
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b (/.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 #s(literal 1/2 binary64) a)))) (*.f64 b c)) |
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(pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 c) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 a) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 a) (pow.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) |
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 #s(literal -4 binary64) c))) |
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) |
(*.f64 (pow.f64 (sqrt.f64 c) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) c)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) c))) (sqrt.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) a) |
(*.f64 a #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(neg.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b))) |
(/.f64 a (*.f64 b b)) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) a)))) |
(/.f64 (/.f64 a b) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 a b)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (/.f64 a b)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 a b))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(pow.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 a b)) #s(literal -1 binary64)) |
(*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a b)) |
(*.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) a) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64)))) |
(pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(*.f64 a #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) a) |
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 5394× | *-lowering-*.f32 |
| 5394× | *-lowering-*.f64 |
| 1768× | /-lowering-/.f32 |
| 1768× | /-lowering-/.f64 |
| 1594× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 362 | 4983 |
| 1 | 1196 | 4612 |
| 2 | 3922 | 4530 |
| 0 | 8379 | 4530 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ b a) |
(* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c)))) |
(* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a))) |
(* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -1 c) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (- (+ (* -1 c) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))) (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (- (+ c (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (- (+ c (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (- (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b 7))) (/ (pow a 2) (pow b 5)))) (/ a (pow b 3)))) (/ 1 b))) |
(/ b a) |
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c))) |
(- (+ (/ b a) (/ (pow b 5) (* (pow a 3) (pow c 2)))) (* -1 (/ (pow b 3) (* (pow a 2) c)))) |
(- (+ (/ b a) (/ (pow b 7) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) c))) (* -1 (/ (pow b 5) (* (pow a 3) (pow c 2)))))) |
(/ b a) |
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c))) |
(+ (* -1 (/ (- (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)) (/ b a)) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow b 7) (* (pow a 4) c)) (* -1 (/ (pow b 5) (pow a 3)))) c)) (/ (pow b 3) (pow a 2))) c)) (/ b a)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (- (* -1 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3))))) |
(+ (* -1 (/ c b)) (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b 7))) (/ (pow c 3) (pow b 5)))) (/ (pow c 2) (pow b 3))))) |
(/ b a) |
(/ (+ b (/ (pow b 3) (* a c))) a) |
(/ (- (+ b (/ (pow b 5) (* (pow a 2) (pow c 2)))) (* -1 (/ (pow b 3) (* a c)))) a) |
(/ (- (+ b (/ (pow b 7) (* (pow a 3) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* a c))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) a) |
(/ b a) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (/ (pow b 5) (* a (pow c 2))) (* -1 (/ (pow b 3) c))) a))) a)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 7) (* a (pow c 3)))) (/ (pow b 5) (pow c 2))) a)) (* -1 (/ (pow b 3) c))) a))) a)) |
(* 1/2 (/ a b)) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b) |
(* -1/2 (/ b c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -1/2 (/ b c)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(* 1/2 (/ a b)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(* 1/2 (/ a b)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(* 1/2 (/ a b)) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* 1/2 (/ a b)) |
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 (/ b c)) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(* -1/2 b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(/ (* a c) b) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(/ (* a c) b) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -1 b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(/ (* a c) b) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(/ (* a c) b) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(/ (* a c) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(* -1 b) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 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) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(/ b a) |
(* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c)))) |
(* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a))) |
(* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b)) |
(* -1 (/ (+ c (+ (/ (* a (pow c 2)) (pow b 2)) (+ (/ (* (pow a 2) (pow c 3)) (pow b 4)) (/ (* (pow a 3) (pow c 4)) (pow b 6))))) b)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (- (* -1 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3))))) |
(+ (* -1 (/ c b)) (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b 7))) (/ (pow c 3) (pow b 5)))) (/ (pow c 2) (pow b 3))))) |
(/ b a) |
(/ (+ b (/ (pow b 3) (* a c))) a) |
(/ (- (+ b (/ (pow b 5) (* (pow a 2) (pow c 2)))) (* -1 (/ (pow b 3) (* a c)))) a) |
(/ (- (+ b (/ (pow b 7) (* (pow a 3) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* a c))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) a) |
(/ b a) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (/ (pow b 5) (* a (pow c 2))) (* -1 (/ (pow b 3) c))) a))) a)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 7) (* a (pow c 3)))) (/ (pow b 5) (pow c 2))) a)) (* -1 (/ (pow b 3) c))) a))) a)) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (- (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b 7))) (/ (pow a 2) (pow b 5)))) (/ a (pow b 3)))) (/ 1 b))) |
(/ b a) |
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c))) |
(- (+ (/ b a) (/ (pow b 5) (* (pow a 3) (pow c 2)))) (* -1 (/ (pow b 3) (* (pow a 2) c)))) |
(- (+ (/ b a) (/ (pow b 7) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) c))) (* -1 (/ (pow b 5) (* (pow a 3) (pow c 2)))))) |
(/ b a) |
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c))) |
(+ (* -1 (/ (- (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)) (/ b a)) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow b 7) (* (pow a 4) c)) (* -1 (/ (pow b 5) (pow a 3)))) c)) (/ (pow b 3) (pow a 2))) c)) (/ b a)) |
(* 1/2 (/ a b)) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b) |
(* -1/2 (/ b c)) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -1/2 (/ b c)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1/2 (/ b c)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(* 1/2 (/ a b)) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* 1/2 (/ a b)) |
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) |
(* 1/2 (/ a b)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(* 1/2 (/ a b)) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) |
(/ -1/2 c) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(* 1/2 (/ a (pow b 2))) |
(* a (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* a (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* a (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* 1/2 (/ a (pow b 2))) |
(* -1 (* a (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))) |
(* -1 (* a (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))) |
(* -1 (* a (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))) |
(* 1/2 (/ a (pow b 2))) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) (pow b 2)) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) (pow b 2)) |
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) (pow b 2)) |
(/ -1/2 c) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(/ -1/2 c) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(/ -1/2 c) |
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c) |
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c) |
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c) |
(* 1/2 (/ a (pow b 2))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(* 1/2 (/ a (pow b 2))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ a (pow b 2))) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(* -1/2 (/ b a)) |
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(* 1/2 a) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(/ a (pow b 2)) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
| Outputs |
|---|
(/ b a) |
(/.f64 b a) |
(* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a c))))) |
(* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) c) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a (*.f64 a (*.f64 a c))))))))) |
(* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b b) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) c) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (*.f64 c (*.f64 c c))))))))) |
(* -1 (/ c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (- (+ (* -1 c) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (/ (* a (pow c 2)) (pow b 2))) b) |
(/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) |
(/ (- (+ (* -1 c) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))) (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(* -1 (/ (- (+ c (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (- (+ c (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (/.f64 (*.f64 a c) b) b) b))) |
(* c (- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (/.f64 (*.f64 a (*.f64 a c)) (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* c (- (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b 7))) (/ (pow a 2) (pow b 5)))) (/ a (pow b 3)))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (*.f64 c (-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a c))) (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(/ b a) |
(/.f64 b a) |
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a c))))) |
(- (+ (/ b a) (/ (pow b 5) (* (pow a 3) (pow c 2)))) (* -1 (/ (pow b 3) (* (pow a 2) c)))) |
(+.f64 (/.f64 b a) (/.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 a (*.f64 a (*.f64 a c)))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a a))) c)) |
(- (+ (/ b a) (/ (pow b 7) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) c))) (* -1 (/ (pow b 5) (* (pow a 3) (pow c 2)))))) |
(+.f64 (/.f64 b a) (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 7 binary64)) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 a (*.f64 a a)))) c) c) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a c))))) |
(/ b a) |
(/.f64 b a) |
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a c))))) |
(+ (* -1 (/ (- (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)) (/ b a)) |
(+.f64 (/.f64 b a) (/.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 a (*.f64 a (*.f64 a c)))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a a))) c)) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow b 7) (* (pow a 4) c)) (* -1 (/ (pow b 5) (pow a 3)))) c)) (/ (pow b 3) (pow a 2))) c)) (/ b a)) |
(+.f64 (/.f64 b a) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 7 binary64)) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 a (*.f64 a a)))) c) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a a))) c)) |
(* -1 (/ c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(+ (* -1 (/ c b)) (* a (- (* -1 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3))))) |
(-.f64 (*.f64 a (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 c (*.f64 b b)))) b) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))))) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b 7))) (/ (pow c 3) (pow b 5)))) (/ (pow c 2) (pow b 3))))) |
(-.f64 (*.f64 a (-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(/ b a) |
(/.f64 b a) |
(/ (+ b (/ (pow b 3) (* a c))) a) |
(/.f64 (+.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a c))) a) |
(/ (- (+ b (/ (pow b 5) (* (pow a 2) (pow c 2)))) (* -1 (/ (pow b 3) (* a c)))) a) |
(/.f64 (+.f64 b (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a) c) c) (/.f64 (*.f64 b (*.f64 b b)) c)) a)) a) |
(/ (- (+ b (/ (pow b 7) (* (pow a 3) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* a c))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) a) |
(/.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 7 binary64)) (*.f64 c (*.f64 c (*.f64 a (*.f64 a (*.f64 a c)))))) (+.f64 b (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a) c) c) (/.f64 (*.f64 b (*.f64 b b)) c)) a))) a) |
(/ b a) |
(/.f64 b a) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a)) |
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(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(/ a (pow b 2)) |
(/.f64 a (*.f64 b b)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
Compiled 21578 to 2319 computations (89.3% saved)
38 alts after pruning (29 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1142 | 18 | 1160 |
| Fresh | 3 | 11 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1147 | 38 | 1185 |
| Status | Accuracy | Program |
|---|---|---|
| 12.4% | (/.f64 (/.f64 (*.f64 a c) b) a) | |
| 39.0% | (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)) (/.f64 #s(literal -1/2 binary64) c))) b) | |
| 15.4% | (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b) (*.f64 a #s(literal 2 binary64))) | |
| ✓ | 14.0% | (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) (*.f64 a #s(literal 2 binary64))) |
| 18.7% | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 (/.f64 (*.f64 c a) b) a)) (*.f64 (/.f64 b a) (/.f64 b a))) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 b a))) | |
| 6.9% | (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) | |
| 8.8% | (/.f64 (-.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) | |
| 16.2% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64))) | |
| 20.5% | (/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) | |
| ✓ | 25.2% | (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) |
| 23.9% | (/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) | |
| 38.9% | (/.f64 c (-.f64 #s(literal 0 binary64) b)) | |
| ✓ | 12.4% | (/.f64 c b) |
| ✓ | 37.0% | (/.f64 b (neg.f64 a)) |
| 2.5% | (/.f64 b a) | |
| 36.9% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) | |
| 28.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 #s(literal 1/2 binary64) a))) c) b)) | |
| 24.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 b (*.f64 #s(literal 1/2 binary64) a))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b (*.f64 #s(literal 1/2 binary64) a))))) | |
| 39.4% | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) | |
| 38.3% | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) c)) | |
| 38.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) | |
| 2.5% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) | |
| ✓ | 47.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| 25.1% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) | |
| 30.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))) | |
| ✓ | 39.7% | (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
| 21.0% | (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) | |
| 32.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a (*.f64 b b)) (/.f64 a (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)))))) | |
| 38.3% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) c))) | |
| 36.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (*.f64 c a) b) b)) | |
| 23.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 1/4 binary64)) b)) | |
| 16.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b)) | |
| 16.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b)) | |
| ✓ | 47.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ✓ | 25.1% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
| ✓ | 36.9% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| 5.8% | (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) | |
| 16.6% | (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) |
Compiled 1658 to 680 computations (59% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 (*.f64 a c) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b))) c)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) c)) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)) (/.f64 #s(literal -1/2 binary64) c))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) c))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 #s(literal 1/2 binary64) a))) c) b)) |
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 b (*.f64 #s(literal 1/2 binary64) a))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b (*.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (-.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a (*.f64 b b)) (/.f64 a (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 (/.f64 (*.f64 c a) b) a)) (*.f64 (/.f64 b a) (/.f64 b a))) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 b a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 1/4 binary64)) b)) |
(/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 4 binary64) a) b)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/4 binary64)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) |
(/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
| Outputs |
|---|
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
4 calls:
| 29.0ms | a |
| 19.0ms | c |
| 16.0ms | b |
| 16.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.1% | 6 | a |
| 86.7% | 3 | b |
| 59.1% | 5 | c |
| 74.2% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 (*.f64 a c) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b))) c)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) c)) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)) (/.f64 #s(literal -1/2 binary64) c))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) c))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 #s(literal 1/2 binary64) a))) c) b)) |
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 b (*.f64 #s(literal 1/2 binary64) a))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b (*.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (-.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a (*.f64 b b)) (/.f64 a (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 (/.f64 (*.f64 c a) b) a)) (*.f64 (/.f64 b a) (/.f64 b a))) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 b a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| Outputs |
|---|
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
1 calls:
| 24.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 (*.f64 a c) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b))) c)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) c)) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)) (/.f64 #s(literal -1/2 binary64) c))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) c))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 #s(literal 1/2 binary64) a))) c) b)) |
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 b (*.f64 #s(literal 1/2 binary64) a))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b (*.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (-.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a (*.f64 b b)) (/.f64 a (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 (/.f64 (*.f64 c a) b) a)) (*.f64 (/.f64 b a) (/.f64 b a))) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 b a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| Outputs |
|---|
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
1 calls:
| 24.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 (*.f64 a c) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b))) c)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) c)) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)) (/.f64 #s(literal -1/2 binary64) c))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) c))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 #s(literal 1/2 binary64) a))) c) b)) |
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 b (*.f64 #s(literal 1/2 binary64) a))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b (*.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (-.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a (*.f64 b b)) (/.f64 a (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 (/.f64 (*.f64 c a) b) a)) (*.f64 (/.f64 b a) (/.f64 b a))) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 b a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
1 calls:
| 29.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 (*.f64 a c) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b))) c)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) c)) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)) (/.f64 #s(literal -1/2 binary64) c))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) c))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 #s(literal 1/2 binary64) a))) c) b)) |
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 b (*.f64 #s(literal 1/2 binary64) a))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b (*.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (-.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a (*.f64 b b)) (/.f64 a (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 (/.f64 (*.f64 c a) b) a)) (*.f64 (/.f64 b a) (/.f64 b a))) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 b a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 (*.f64 a c) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (*.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b))) c)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) c)) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal -2 binary64) b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)) (/.f64 #s(literal -1/2 binary64) c))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) c))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 #s(literal 1/2 binary64) a))) c) b)) |
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 b (*.f64 #s(literal 1/2 binary64) a))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b (*.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (-.f64 (*.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 a (*.f64 b b)) (/.f64 a (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 (/.f64 (*.f64 c a) b) a)) (*.f64 (/.f64 b a) (/.f64 b a))) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) a) (/.f64 b a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 (*.f64 a c) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(/.f64 c b) |
3 calls:
| 3.0ms | c |
| 2.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.0% | 1 | a |
| 37.0% | 1 | c |
| 46.7% | 2 | b |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 c b) |
| Outputs |
|---|
(/.f64 c b) |
3 calls:
| 2.0ms | b |
| 2.0ms | c |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.4% | 1 | c |
| 12.4% | 1 | a |
| 12.4% | 1 | b |
Compiled 12 to 9 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 b a) |
| Outputs |
|---|
(/.f64 b a) |
3 calls:
| 8.0ms | a |
| 1.0ms | c |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.5% | 1 | a |
| 2.5% | 1 | b |
| 2.5% | 1 | c |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 1.1442748771311947e-119 | 7.996619812206784e-119 |
| 16.0ms | -1.056837181051654e+161 | -7.367608349596538e+157 |
| 22.0ms | 7× | 2 | valid |
| 18.0ms | 190× | 0 | valid |
| 5.0ms | 27× | 1 | valid |
| 4.0ms | 39× | 0 | invalid |
Compiled 652 to 439 computations (32.7% saved)
ival-mult: 28.0ms (73.1% of total)ival-sqrt: 3.0ms (7.8% of total)ival-div: 2.0ms (5.2% of total)ival-neg: 2.0ms (5.2% of total)ival-add: 2.0ms (5.2% of total)ival-sub: 1.0ms (2.6% of total)backward-pass: 1.0ms (2.6% of total)const: 1.0ms (2.6% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.1442748771311947e-119 | 7.996619812206784e-119 |
| 8.0ms | -2.1796376834253862e+42 | -1.2434014242575946e+42 |
| 12.0ms | 129× | 0 | valid |
| 5.0ms | 25× | 1 | valid |
| 3.0ms | 35× | 0 | invalid |
| 2.0ms | 6× | 2 | valid |
Compiled 480 to 319 computations (33.5% saved)
ival-mult: 6.0ms (42.4% of total)ival-div: 2.0ms (14.1% of total)ival-sqrt: 2.0ms (14.1% of total)ival-sub: 1.0ms (7.1% of total)backward-pass: 1.0ms (7.1% of total)ival-neg: 1.0ms (7.1% of total)ival-add: 1.0ms (7.1% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.1442748771311947e-119 | 7.996619812206784e-119 |
| 9.0ms | -2.1796376834253862e+42 | -1.2434014242575946e+42 |
| 15.0ms | 127× | 0 | valid |
| 7.0ms | 48× | 0 | invalid |
| 5.0ms | 26× | 1 | valid |
| 2.0ms | 7× | 2 | valid |
Compiled 480 to 319 computations (33.5% saved)
ival-mult: 9.0ms (50.1% of total)ival-div: 2.0ms (11.1% of total)ival-sqrt: 2.0ms (11.1% of total)ival-sub: 1.0ms (5.6% of total)backward-pass: 1.0ms (5.6% of total)ival-neg: 1.0ms (5.6% of total)ival-add: 1.0ms (5.6% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 5.7020261343013204e-142 | 3.8438642092989334e-125 |
| 30.0ms | -3.981344154333242e-130 | -1.4691363555021703e-141 |
| 27.0ms | 273× | 0 | valid |
| 14.0ms | 150× | 0 | invalid |
| 9.0ms | 40× | 1 | valid |
| 2.0ms | 7× | 2 | valid |
Compiled 596 to 439 computations (26.3% saved)
ival-mult: 15.0ms (43.7% of total)ival-div: 5.0ms (14.6% of total)ival-sqrt: 4.0ms (11.7% of total)ival-sub: 3.0ms (8.7% of total)ival-neg: 3.0ms (8.7% of total)ival-add: 3.0ms (8.7% of total)backward-pass: 1.0ms (2.9% of total)const: 1.0ms (2.9% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 5.7020261343013204e-142 | 3.8438642092989334e-125 |
| 30.0ms | -3.981344154333242e-130 | -1.4691363555021703e-141 |
| 28.0ms | 266× | 0 | valid |
| 13.0ms | 141× | 0 | invalid |
| 10.0ms | 44× | 1 | valid |
| 4.0ms | 10× | 2 | valid |
Compiled 596 to 439 computations (26.3% saved)
ival-mult: 16.0ms (44.9% of total)ival-div: 4.0ms (11.2% of total)ival-sqrt: 4.0ms (11.2% of total)ival-add: 4.0ms (11.2% of total)ival-sub: 3.0ms (8.4% of total)ival-neg: 3.0ms (8.4% of total)backward-pass: 1.0ms (2.8% of total)const: 1.0ms (2.8% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | -1.594907040606872e-301 | 1.001135089559646e-305 |
| 25.0ms | 118× | 0 | invalid |
| 14.0ms | 160× | 0 | valid |
Compiled 276 to 199 computations (27.9% saved)
ival-sub: 16.0ms (51.9% of total)ival-mult: 7.0ms (22.7% of total)ival-div: 2.0ms (6.5% of total)ival-sqrt: 2.0ms (6.5% of total)ival-add: 1.0ms (3.2% of total)const: 1.0ms (3.2% of total)ival-neg: 1.0ms (3.2% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 1.001135089559646e-305 | 6.1987689652695694e-301 |
| 32.0ms | 128× | 0 | valid |
| 9.0ms | 99× | 0 | invalid |
Compiled 162 to 123 computations (24.1% saved)
ival-sub: 22.0ms (64.7% of total)ival-mult: 6.0ms (17.6% of total)ival-div: 2.0ms (5.9% of total)ival-sqrt: 2.0ms (5.9% of total)ival-add: 1.0ms (2.9% of total)ival-neg: 1.0ms (2.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 290.65479712853573 | 8599369670375594.0 |
| 26.0ms | 69× | 2 | valid |
| 7.0ms | 36× | 1 | valid |
| 5.0ms | 55× | 0 | valid |
| 1.0ms | 13× | 0 | invalid |
Compiled 176 to 129 computations (26.7% saved)
ival-mult: 14.0ms (50% of total)ival-sqrt: 3.0ms (10.7% of total)ival-div: 3.0ms (10.7% of total)backward-pass: 2.0ms (7.1% of total)ival-sub: 2.0ms (7.1% of total)ival-neg: 2.0ms (7.1% of total)ival-add: 2.0ms (7.1% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 66× | *-commutative_binary64 |
| 42× | +-commutative_binary64 |
| 36× | sub-neg_binary64 |
| 30× | neg-sub0_binary64 |
| 30× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 313 |
| 1 | 132 | 313 |
| 2 | 167 | 313 |
| 3 | 197 | 313 |
| 4 | 222 | 313 |
| 5 | 243 | 313 |
| 6 | 251 | 313 |
| 7 | 255 | 313 |
| 8 | 256 | 313 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -74999999999999999514084158906369419456675681806282532841929414508600353690299808685898862943739746481026911319062577401507209906924506822843891715100697952256 binary64)) (/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 7086677561882167/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -2149999999999999887601900628455299699703808 binary64)) (/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 4906161388995347/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -2149999999999999887601900628455299699703808 binary64)) (/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 49686240918645/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -7691988427978605/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 905047950073301/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))))) |
(if (<=.f64 b #s(literal -1217481934623237/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 6668774368961165/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal 8064464780213157/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (<=.f64 b #s(literal 700000 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 b a) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -74999999999999999514084158906369419456675681806282532841929414508600353690299808685898862943739746481026911319062577401507209906924506822843891715100697952256 binary64)) (/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 7086677561882167/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -74999999999999999514084158906369419456675681806282532841929414508600353690299808685898862943739746481026911319062577401507209906924506822843891715100697952256 binary64)) (/.f64 (*.f64 b (-.f64 (-.f64 #s(literal 0 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 7086677561882167/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b #s(literal -1/2 binary64))))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -2149999999999999887601900628455299699703808 binary64)) (/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 4906161388995347/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -2149999999999999887601900628455299699703808 binary64)) (/.f64 (*.f64 b (-.f64 (-.f64 #s(literal 0 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 4906161388995347/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b #s(literal -1/2 binary64))))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -2149999999999999887601900628455299699703808 binary64)) (/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 49686240918645/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -2149999999999999887601900628455299699703808 binary64)) (/.f64 (*.f64 b (-.f64 (-.f64 #s(literal 0 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 49686240918645/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b #s(literal -1/2 binary64))))) (*.f64 b (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -7691988427978605/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 905047950073301/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))))) |
(if (<=.f64 b #s(literal -7691988427978605/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 905047950073301/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))))) |
(if (<=.f64 b #s(literal -1217481934623237/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 6668774368961165/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))))) |
(if (<=.f64 b #s(literal -1217481934623237/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 6668774368961165/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) |
(if (<=.f64 b #s(literal 8064464780213157/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (<=.f64 b #s(literal 8064464780213157/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (<=.f64 b #s(literal 700000 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c b)) |
(if (<=.f64 b #s(literal 700000 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 b a) |
| 7018× | *-lowering-*.f32 |
| 7018× | *-lowering-*.f64 |
| 6608× | *-lowering-*.f32 |
| 6608× | *-lowering-*.f64 |
| 5864× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 543 | 3071 |
| 1 | 1886 | 2859 |
| 2 | 7132 | 2847 |
| 0 | 8001 | 2847 |
| 0 | 30 | 137 |
| 1 | 181 | 133 |
| 2 | 1771 | 133 |
| 0 | 8687 | 133 |
| 0 | 362 | 4983 |
| 1 | 1196 | 4612 |
| 2 | 3922 | 4530 |
| 0 | 8379 | 4530 |
| 0 | 607 | 6286 |
| 1 | 2094 | 5921 |
| 2 | 7598 | 5909 |
| 0 | 8545 | 5909 |
| 0 | 1099 | 9469 |
| 1 | 4025 | 8967 |
| 0 | 8686 | 8967 |
| 0 | 13 | 43 |
| 1 | 63 | 39 |
| 2 | 539 | 39 |
| 3 | 7590 | 39 |
| 0 | 8088 | 39 |
| 0 | 14 | 16 |
| 1 | 34 | 15 |
| 2 | 73 | 14 |
| 3 | 172 | 14 |
| 4 | 296 | 14 |
| 5 | 528 | 14 |
| 6 | 1046 | 14 |
| 7 | 2242 | 14 |
| 8 | 5182 | 14 |
| 9 | 7757 | 14 |
| 0 | 8173 | 14 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 963 to 545 computations (43.4% saved)
Compiled 690 to 212 computations (69.3% saved)
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