
Time bar (total: 12.7s)
| 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: 37.0ms (42.1% of total)ival-add: 12.0ms (13.7% of total)ival-sqrt: 11.0ms (12.5% of total)ival-neg: 10.0ms (11.4% of total)ival-div: 8.0ms (9.1% of total)ival-sub: 7.0ms (8% of total)const: 3.0ms (3.4% of total)backward-pass: 1.0ms (1.1% of total)| 709.0ms | 1857× | 2 | valid |
| 667.0ms | 5593× | 0 | valid |
| 180.0ms | 806× | 1 | valid |
| 93.0ms | 947× | 0 | invalid |
ival-mult: 464.0ms (44.6% of total)ival-sqrt: 118.0ms (11.3% of total)ival-div: 105.0ms (10.1% of total)ival-neg: 89.0ms (8.5% of total)backward-pass: 84.0ms (8.1% of total)ival-add: 83.0ms (8% of total)ival-sub: 76.0ms (7.3% of total)const: 23.0ms (2.2% 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 |
|---|---|---|---|---|---|
| 113 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 45 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 26 | 0 | - | 1 | (2.01978522389629e-35 7.529715312850677e+181 2.032839371536794e-101) | (/.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)) |
| 3 | 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 |
| 134.0ms | 134× | 2 | valid |
| 69.0ms | 338× | 0 | valid |
| 17.0ms | 40× | 1 | valid |
Compiled 168 to 44 computations (73.8% saved)
backward-pass: 34.0ms (37.3% of total)ival-mult: 29.0ms (31.8% of total)ival-sqrt: 7.0ms (7.7% of total)ival-div: 6.0ms (6.6% of total)ival-neg: 5.0ms (5.5% of total)ival-sub: 4.0ms (4.4% of total)ival-add: 4.0ms (4.4% of total)const: 1.0ms (1.1% of total)Compiled 19 to 13 computations (31.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.9% | (/.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 | 99.1% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 90.8% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 83.8% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 58.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| 35.0ms | 67× | 2 | valid |
| 33.0ms | 169× | 0 | valid |
| 8.0ms | 20× | 1 | valid |
Compiled 70 to 14 computations (80% saved)
ival-mult: 12.0ms (41.5% of total)ival-sqrt: 4.0ms (13.8% of total)backward-pass: 4.0ms (13.8% of total)ival-div: 3.0ms (10.4% of total)ival-sub: 2.0ms (6.9% of total)ival-add: 2.0ms (6.9% of total)const: 1.0ms (3.5% 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 | c | @ | 0 | (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
| 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 | 8090 | 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)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 512 | 14 | 526 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 513 | 14 | 527 |
| Status | Accuracy | Program |
|---|---|---|
| 28.7% | (/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) | |
| 48.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64))) | |
| 34.8% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) | |
| 12.9% | (/.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))) | |
| ▶ | 23.8% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
| 32.8% | (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) | |
| 13.0% | (/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) | |
| 31.3% | (/.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))) | |
| ▶ | 31.7% | (/.f64 b (neg.f64 a)) |
| ▶ | 48.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| ▶ | 48.8% | (/.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)) |
| 36.0% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| 48.8% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) | |
| ▶ | 30.4% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
Compiled 510 to 338 computations (33.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.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 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (*.f64 b b)) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (sqrt.f64 (*.f64 b b)) |
| ✓ | 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 | -64 | (neg.f64 a) |
| ✓ | cost-diff | 0 | (/.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))) |
| 1910× | sum3-define |
| 1416× | fmsub-define |
| 1360× | fma-lowering-fma.f32 |
| 1360× | fma-lowering-fma.f64 |
| 1348× | fnmsub-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 217 |
| 1 | 69 | 206 |
| 2 | 147 | 206 |
| 3 | 429 | 206 |
| 4 | 1250 | 203 |
| 5 | 2918 | 203 |
| 6 | 5468 | 203 |
| 0 | 8102 | 203 |
| 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 |
(* (- (/ 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 |
(/ (- (sqrt (* b b)) b) (* a 2)) |
(- (sqrt (* b b)) b) |
(sqrt (* b b)) |
(* b b) |
b |
(* a 2) |
a |
2 |
(/ 1/2 (* (/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a)) |
1/2 |
(* (/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a) |
(/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
1 |
(- (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 |
| Outputs |
|---|
(/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) a)) |
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 c (*.f64 a #s(literal -4 binary64))))) b)) |
a |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* 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 |
(* (- (/ 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 c (*.f64 b b))) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
a |
(/ c (* b b)) |
(/.f64 c (*.f64 b b)) |
c |
(* b b) |
(*.f64 b b) |
b |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
0 |
#s(literal 0 binary64) |
(/ (- (sqrt (* b b)) b) (* a 2)) |
(/.f64 (-.f64 (fabs.f64 b) b) (*.f64 a #s(literal 2 binary64))) |
(- (sqrt (* b b)) b) |
(-.f64 (fabs.f64 b) b) |
(sqrt (* b b)) |
(fabs.f64 b) |
(* b b) |
(*.f64 b b) |
b |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
a |
2 |
#s(literal 2 binary64) |
(/ 1/2 (* (/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) a)) |
1/2 |
#s(literal 1/2 binary64) |
(* (/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a) |
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
1 |
#s(literal 1 binary64) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
a |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 90.9% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) |
| ✓ | accuracy | 83.8% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 58.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | accuracy | 100.0% | (-.f64 (sqrt.f64 (*.f64 b b)) b) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal 2 binary64)) |
| ✓ | accuracy | 52.1% | (sqrt.f64 (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) |
| ✓ | accuracy | 92.1% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | accuracy | 88.2% | (/.f64 c (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (/.f64 b (neg.f64 a)) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 99.1% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 91.1% | (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ✓ | accuracy | 83.8% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 58.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| 98.0ms | 63× | 2 | valid |
| 64.0ms | 141× | 0 | valid |
| 51.0ms | 49× | 1 | valid |
| 5.0ms | 3× | 3 | valid |
Compiled 255 to 31 computations (87.8% saved)
ival-div: 22.0ms (27.2% of total)ival-mult: 17.0ms (21% of total)backward-pass: 15.0ms (18.6% of total)ival-sub: 11.0ms (13.6% of total)ival-sqrt: 9.0ms (11.1% of total)const: 2.0ms (2.5% of total)ival-add: 2.0ms (2.5% of total)ival-neg: 2.0ms (2.5% 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 (* (- (/ 1 a) (/ c (* b b))) (- 0 b))> |
#<alt (- (/ 1 a) (/ c (* b b)))> |
#<alt (/ 1 a)> |
#<alt (/ c (* b b))> |
#<alt (sqrt (* b b))> |
#<alt (/ (- (sqrt (* b b)) b) (* a 2))> |
#<alt (- (sqrt (* b b)) b)> |
#<alt (* b b)> |
#<alt (* (/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a)> |
#<alt (/ 1/2 (* (/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a))> |
#<alt (/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b))> |
#<alt (+ (* b b) (* a (* c -4)))> |
#<alt (* a 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))))> |
#<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))> |
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#<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 (/ 1 (* a c))) (/ 1 (sqrt -4)))> |
#<alt (+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2)))))> |
#<alt (+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))> |
#<alt (+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))> |
#<alt (* -1/2 (/ b (* a c)))> |
#<alt (* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))> |
#<alt (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c)))))> |
#<alt (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c)))))))> |
#<alt (/ -1/2 b)> |
#<alt (* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b))> |
#<alt (* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b))> |
#<alt (* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b))> |
#<alt (* -1/2 (/ b (* a c)))> |
#<alt (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)> |
#<alt (/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)> |
#<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))))) a)> |
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))> |
#<alt (/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a)> |
#<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))))) a)> |
#<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))))))) a)> |
#<alt (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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)))) (* 1/16 (* (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)))) a))> |
#<alt (* -1/2 (/ b (* a c)))> |
#<alt (/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c)> |
#<alt (/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)> |
#<alt (/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)> |
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))> |
#<alt (/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c)> |
#<alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c)> |
#<alt (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) 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 (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | -inf | (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
| 3.0ms | c | @ | inf | (/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
| 3.0ms | c | @ | 0 | (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
| 1.0ms | a | @ | inf | (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
| 1.0ms | c | @ | inf | (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
| 1× | batch-egg-rewrite |
| 4504× | *-lowering-*.f32 |
| 4504× | *-lowering-*.f64 |
| 2472× | /-lowering-/.f32 |
| 2472× | /-lowering-/.f64 |
| 1652× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 144 |
| 1 | 183 | 133 |
| 2 | 1714 | 133 |
| 0 | 8387 | 133 |
| 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) |
(* (- (/ 1 a) (/ c (* b b))) (- 0 b)) |
(- (/ 1 a) (/ c (* b b))) |
(/ 1 a) |
(/ c (* b b)) |
(sqrt (* b b)) |
(/ (- (sqrt (* b b)) b) (* a 2)) |
(- (sqrt (* b b)) b) |
(* b b) |
(* (/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a) |
(/ 1/2 (* (/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a)) |
(/ 1 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(+ (* b b) (* a (* c -4))) |
(* a 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))) |
(/.f64 #s(literal -1 binary64) (neg.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))))) |
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (-.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) a) (/.f64 #s(literal 1 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 (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 (neg.f64 (*.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 0 binary64) a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.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 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 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.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))))))) |
(pow.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)) |
(pow.f64 (/.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)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) a)) |
(*.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) 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 -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal 1/2 binary64)) |
(*.f64 (*.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) a)) |
(*.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 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(/.f64 a (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 #s(literal 1 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 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a))) |
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(pow.f64 a #s(literal -1 binary64)) |
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(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c b)) |
b |
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(+.f64 #s(literal 0 binary64) b) |
(exp.f64 (log.f64 b)) |
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(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) (log.f64 b))) |
(exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
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(fabs.f64 (-.f64 b (/.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(fabs.f64 (-.f64 b (/.f64 #s(literal 0 binary64) b))) |
(sqrt.f64 (*.f64 b b)) |
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(*.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)))) (pow.f64 (/.f64 #s(literal 1 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))))))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.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 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal -1 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)) |
(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 (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))) |
(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))) |
(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 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.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 (*.f64 b b) #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 (sqrt.f64 b) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (sqrt.f64 b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(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 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))))) |
(/.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 (*.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 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))) (+.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 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))) (+.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 a (*.f64 c #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c)))))) (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 a (*.f64 c #s(literal -4 binary64)))))) |
(/.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))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (*.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)))))) |
(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 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c)))))) #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 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #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 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -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 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -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 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #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 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
| 1× | egg-herbie |
| 6770× | *-lowering-*.f32 |
| 6770× | *-lowering-*.f64 |
| 4268× | +-lowering-+.f64 |
| 4268× | +-lowering-+.f32 |
| 1470× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1062 | 8491 |
| 1 | 3843 | 7799 |
| 0 | 8723 | 7799 |
| 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 (/ 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)) |
b |
b |
b |
b |
b |
b |
b |
b |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(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) |
(* (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 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)))) |
(* -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)) |
(* 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 (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(* -1/2 (/ b (* a c))) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -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))))) a) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -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))))) a) |
(/ (- (+ (* -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))))))) a) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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)))) (* 1/16 (* (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)))) a)) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) 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)))) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
| 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 b #s(literal -1/2 binary64)) a) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (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)))))) |
(+ (* -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 (*.f64 b #s(literal -1/2 binary64)) a) (*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (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)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (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 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.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))) 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 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (*.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)))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -2 b) |
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(* (sqrt (* a c)) (sqrt -4)) |
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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 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
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(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) b) c))) |
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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 #s(literal -2 binary64) (*.f64 c a)) (*.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 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))) (-.f64 #s(literal 0 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 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 c 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)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) |
(+ 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))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) 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 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -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 (/ (+ (* -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))))) a) |
(/.f64 (+.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) #s(literal -1/2 binary64)) (*.f64 a a))) (/.f64 (/.f64 b c) #s(literal -4 binary64))) a) |
(/ (- (+ (* -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))))))) a) |
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)) (*.f64 c c))) (/.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b (*.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 a (*.f64 a a)))) (-.f64 (+.f64 (/.f64 (/.f64 b c) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))))) a) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) |
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(/.f64 (+.f64 (/.f64 (/.f64 b c) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b a) c))) a)) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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)))) (* 1/16 (* (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)))) a)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 a (*.f64 b (*.f64 b b)))) (*.f64 c c)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) #s(literal 1/16 binary64)))) (-.f64 #s(literal 0 binary64) a)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b a) c))) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1/2 (/ b (* a c))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) |
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c) |
(/.f64 (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/.f64 (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 b (*.f64 b b))))))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/.f64 (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (+.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 b b)))) (/.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 b (*.f64 b b)))))))) c) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (*.f64 a #s(literal -4 binary64)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/.f64 (+.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64)) (*.f64 c c))) (/.f64 b (*.f64 a #s(literal -4 binary64)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(/.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 a a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (*.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 c (*.f64 c c)))) (-.f64 (+.f64 (/.f64 (/.f64 b a) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) |
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/.f64 (+.f64 (/.f64 (/.f64 b a) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) #s(literal -1/16 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 c b) a))) c)) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 c (*.f64 b (*.f64 b b)))) (*.f64 a a)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/16 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))))) (-.f64 #s(literal 0 binary64) c)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 c b) a))) c)) (-.f64 #s(literal 0 binary64) c)) |
(* -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 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
Compiled 35005 to 4002 computations (88.6% saved)
34 alts after pruning (31 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1428 | 23 | 1451 |
| Fresh | 1 | 8 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1431 | 34 | 1465 |
| Status | Accuracy | Program |
|---|---|---|
| 28.7% | (/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) | |
| 29.4% | (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) | |
| ▶ | 48.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64))) |
| 34.8% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) | |
| ▶ | 12.9% | (/.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))) |
| 19.7% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) | |
| ✓ | 23.8% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
| 32.8% | (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) | |
| 16.7% | (/.f64 (-.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 20.8% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) | |
| 7.1% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 b b))) | |
| 11.2% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) (*.f64 a (*.f64 b b))) | |
| 31.3% | (/.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))) | |
| 12.8% | (/.f64 c b) | |
| ✓ | 31.7% | (/.f64 b (neg.f64 a)) |
| 31.6% | (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b))) | |
| 35.4% | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c)) | |
| ▶ | 35.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
| 25.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b))) | |
| ✓ | 48.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| 32.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) | |
| ▶ | 35.9% | (/.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))) |
| 32.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a)) | |
| 31.6% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a)) | |
| 25.7% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) | |
| 25.5% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) a)) | |
| 35.4% | (/.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)))) | |
| 31.5% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 36.0% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| 48.8% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) | |
| 31.6% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) | |
| 30.4% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (-.f64 #s(literal 0 binary64) b)) | |
| 12.7% | (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) | |
| ▶ | 13.0% | #s(literal 0 binary64) |
Compiled 1033 to 683 computations (33.9% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)) |
| ✓ | cost-diff | 0 | (/.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 | 256 | (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) |
| ✓ | cost-diff | 256 | (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) 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 | 0 | (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
| ✓ | cost-diff | 0 | (/.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))) |
| ✓ | 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 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64))) |
| 2916× | *-lowering-*.f32 |
| 2916× | *-lowering-*.f64 |
| 2002× | sum3-define |
| 1412× | fmsub-define |
| 1322× | fmm-def |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 245 |
| 1 | 86 | 224 |
| 2 | 200 | 224 |
| 3 | 589 | 206 |
| 4 | 1840 | 205 |
| 5 | 4342 | 205 |
| 0 | 8147 | 205 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2)) |
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) |
(/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) |
1 |
(sqrt (/ 1 (+ (* b b) (* a (* c -4))))) |
(/ 1 (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
a |
(* c -4) |
c |
-4 |
(* a 2) |
2 |
0 |
(/ 1/2 (/ (* b -1/2) c)) |
1/2 |
(/ (* b -1/2) c) |
(* b -1/2) |
b |
-1/2 |
c |
(/ 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 |
(/ (- (* 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 |
| Outputs |
|---|
(/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) b) (*.f64 a #s(literal 2 binary64))) |
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) b) |
(/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) |
1 |
#s(literal 1 binary64) |
(sqrt (/ 1 (+ (* b b) (* a (* c -4))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) |
(/ 1 (+ (* b b) (* a (* c -4)))) |
(/.f64 #s(literal 1 binary64) (+.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) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
0 |
#s(literal 0 binary64) |
(/ 1/2 (/ (* b -1/2) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
1/2 |
#s(literal 1/2 binary64) |
(/ (* b -1/2) c) |
(/.f64 b (*.f64 c #s(literal -2 binary64))) |
(* b -1/2) |
(/.f64 b #s(literal -2 binary64)) |
b |
-1/2 |
#s(literal -1/2 binary64) |
c |
(/ 1/2 (+ (/ (* b -1/2) c) (/ (* a 1/2) b))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))) |
1/2 |
#s(literal 1/2 binary64) |
(+ (/ (* b -1/2) c) (/ (* a 1/2) b)) |
(+.f64 (/.f64 b (*.f64 c #s(literal -2 binary64))) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
(/ (* b -1/2) c) |
(/.f64 b (*.f64 c #s(literal -2 binary64))) |
(* b -1/2) |
(/.f64 b #s(literal -2 binary64)) |
b |
-1/2 |
#s(literal -1/2 binary64) |
c |
(/ (* a 1/2) b) |
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b) |
(* a 1/2) |
(*.f64 a #s(literal 1/2 binary64)) |
a |
(/ (- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) (* a 2)) |
(/.f64 (*.f64 a (/.f64 (/.f64 c b) #s(literal -1/2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) |
(*.f64 a (/.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* b (+ 1 (/ (* a (* (/ c b) -2)) b))) |
(+.f64 b (*.f64 a (/.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
b |
(+ 1 (/ (* a (* (/ c b) -2)) b)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b) #s(literal -1/2 binary64))) b)) |
1 |
#s(literal 1 binary64) |
(/ (* a (* (/ c b) -2)) b) |
(/.f64 (*.f64 a (/.f64 (/.f64 c b) #s(literal -1/2 binary64))) b) |
(* a (* (/ c b) -2)) |
(*.f64 a (/.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
a |
(* (/ c b) -2) |
(/.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/ c b) |
(/.f64 c b) |
c |
-2 |
#s(literal -2 binary64) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.2% | (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) |
| ✓ | accuracy | 93.4% | (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) |
| ✓ | accuracy | 80.7% | (/.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 | 63.0% | (-.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 a #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
| ✓ | accuracy | 99.1% | (/.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))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) |
| ✓ | accuracy | 100.0% | (*.f64 b #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | accuracy | 90.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 83.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) |
| ✓ | accuracy | 60.0% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
| 126.0ms | 80× | 1 | valid |
| 86.0ms | 33× | 3 | valid |
| 85.0ms | 49× | 2 | valid |
| 50.0ms | 94× | 0 | valid |
Compiled 262 to 36 computations (86.3% saved)
ival-div: 34.0ms (31% of total)ival-mult: 30.0ms (27.4% of total)backward-pass: 23.0ms (21% of total)ival-add: 10.0ms (9.1% of total)ival-sub: 6.0ms (5.5% of total)ival-sqrt: 5.0ms (4.6% of total)const: 2.0ms (1.8% of total)| Inputs |
|---|
#<alt (/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2))> |
#<alt (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b)> |
#<alt (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4))))))> |
#<alt (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))> |
#<alt (/ 1/2 (/ (* b -1/2) c))> |
#<alt (/ (* b -1/2) c)> |
#<alt (* b -1/2)> |
#<alt (/ 1/2 (+ (/ (* b -1/2) c) (/ (* a 1/2) b)))> |
#<alt (+ (/ (* b -1/2) c) (/ (* a 1/2) b))> |
#<alt (- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b)> |
#<alt (* b (+ 1 (/ (* a (* (/ c b) -2)) b)))> |
#<alt (/ (- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) (* a 2))> |
#<alt (+ 1 (/ (* a (* (/ c b) -2)) b))> |
#<alt (/ 1 (+ (* b b) (* a (* c -4))))> |
#<alt (/ (* a 1/2) b)> |
#<alt (* a 1/2)> |
#<alt (* a (* (/ c b) -2))> |
| 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)))))))> |
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#<alt (* -2 (/ (* a c) b))> |
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#<alt (* (sqrt (* a c)) (sqrt -4))> |
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<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))))))> |
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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) (+ (* -1/8 (* (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> |
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#<alt (* -1 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))))))))> |
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#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))> |
#<alt (/ 1 b)> |
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#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)> |
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#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))> |
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#<alt (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
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#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (/ 1 b)> |
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#<alt (+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
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#<alt (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
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#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (/ c b))> |
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#<alt (* -1/2 b)> |
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#<alt (* -1/2 b)> |
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#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (* -1/2 b)> |
#<alt (/ b a)> |
#<alt (* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c))))> |
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#<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)> |
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#<alt (* -1 (/ c b))> |
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#<alt (/ b a)> |
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#<alt (/ b a)> |
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#<alt (+ (* -1 (/ (- (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)) (/ b a))> |
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#<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 (* -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 (* -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 1> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* a (+ (* -2 (/ c (pow b 2))) (/ 1 a)))> |
#<alt (* a (+ (* -2 (/ c (pow b 2))) (/ 1 a)))> |
#<alt (* a (+ (* -2 (/ c (pow b 2))) (/ 1 a)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (/ 1 a))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* c (+ (* -2 (/ a (pow b 2))) (/ 1 c)))> |
#<alt (* c (+ (* -2 (/ a (pow b 2))) (/ 1 c)))> |
#<alt (* c (+ (* -2 (/ a (pow b 2))) (/ 1 c)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2))> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2))> |
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) (pow b 2))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (/ -1/4 (* a c))> |
#<alt (- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))> |
#<alt (- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))> |
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))> |
#<alt (/ 1 (pow b 2))> |
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))> |
#<alt (+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))> |
#<alt (+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)> |
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)> |
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)> |
#<alt (/ -1/4 (* a c))> |
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))> |
#<alt (/ 1 (pow b 2))> |
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))> |
#<alt (+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))> |
#<alt (+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)> |
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)> |
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)> |
#<alt (/ -1/4 (* a c))> |
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<alt (* 1/2 (/ a b))> |
#<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 (* -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))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | 0 | (sqrt (/ 1 (+ (* b b) (* a (* c -4))))) |
| 3.0ms | b | @ | -inf | (+ (/ (* b -1/2) c) (/ (* a 1/2) b)) |
| 2.0ms | c | @ | inf | (sqrt (/ 1 (+ (* b b) (* a (* c -4))))) |
| 2.0ms | c | @ | 0 | (/ 1 (+ (* b b) (* a (* c -4)))) |
| 1.0ms | b | @ | 0 | (sqrt (/ 1 (+ (* b b) (* a (* c -4))))) |
| 1× | batch-egg-rewrite |
| 6336× | *-lowering-*.f32 |
| 6336× | *-lowering-*.f64 |
| 3412× | /-lowering-/.f32 |
| 3412× | /-lowering-/.f64 |
| 3216× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 167 |
| 1 | 215 | 146 |
| 2 | 2052 | 145 |
| 0 | 11035 | 145 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2)) |
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) |
(/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) |
(sqrt (/ 1 (+ (* b b) (* a (* c -4))))) |
(/ 1/2 (/ (* b -1/2) c)) |
(/ (* b -1/2) c) |
(* b -1/2) |
(/ 1/2 (+ (/ (* b -1/2) c) (/ (* a 1/2) b))) |
(+ (/ (* b -1/2) c) (/ (* a 1/2) b)) |
(- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) |
(* b (+ 1 (/ (* a (* (/ c b) -2)) b))) |
(/ (- (* b (+ 1 (/ (* a (* (/ c b) -2)) b))) b) (* a 2)) |
(+ 1 (/ (* a (* (/ c b) -2)) b)) |
(/ 1 (+ (* b b) (* a (* c -4)))) |
(/ (* a 1/2) b) |
(* a 1/2) |
(* a (* (/ c b) -2)) |
| Outputs |
|---|
(+.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 (/.f64 b a) #s(literal 2 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) #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 (/.f64 b a) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (/.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (neg.f64 (/.f64 (/.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) (neg.f64 (/.f64 (/.f64 b 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 (-.f64 #s(literal 0 binary64) (-.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 binary64) (/.f64 (*.f64 a #s(literal 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 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal 1 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 (-.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 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.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 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.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))))) b) 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))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.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 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.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 b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.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 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) 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)) (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 b a) #s(literal 2 binary64))))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 b 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 b a) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 b 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 b a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 1 binary64)) (*.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 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) 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 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (/.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))))) b) #s(literal 2 binary64)) a) |
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))) a) |
(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.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 #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)))) |
(*.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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.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 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 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 (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (fma.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64) b)) |
(+.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (fma.f64 #s(literal -1 binary64) b b)) |
(+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(-.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 (*.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 (/.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 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(fma.f64 (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 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (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 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)))) |
(/.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 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 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b))))) |
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.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 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (neg.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)))) (neg.f64 (+.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 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (neg.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(pow.f64 (/.f64 (+.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 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) #s(literal -1 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 #s(literal 1 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 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (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 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1/2 binary64))) |
(fabs.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))))) |
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(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) |
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(/.f64 #s(literal 1 binary64) (sqrt.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 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c)))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64))) b) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) #s(literal 1 binary64)) (/.f64 b (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)))) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)))) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) #s(literal 1 binary64)) (/.f64 b (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)))) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)))) (*.f64 b (*.f64 b b))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) #s(literal 1 binary64)) (/.f64 b (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) #s(literal 1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) #s(literal 1 binary64)) (/.f64 b (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)))) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)))) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) #s(literal 1 binary64)) (/.f64 b (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64))))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.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 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -2 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1 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 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c)))))) (+.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 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -64 binary64) (*.f64 c (*.f64 c c)))))) (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 (/.f64 #s(literal 1 binary64) (-.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 a (*.f64 c #s(literal -4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) b))) |
(neg.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) b) |
(/.f64 (neg.f64 (*.f64 a #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(pow.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) |
(*.f64 a (/.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 #s(literal 1 binary64) b))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 a b)) |
(*.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) a) |
(*.f64 a #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) a) |
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) |
(/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) |
(*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 c b) (*.f64 a #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c b)) |
(*.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64))) a) |
(*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64)) |
| 1× | egg-herbie |
| 6016× | *-lowering-*.f32 |
| 6016× | *-lowering-*.f64 |
| 5054× | +-lowering-+.f64 |
| 5054× | +-lowering-+.f32 |
| 1618× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1061 | 7611 |
| 1 | 3752 | 7170 |
| 0 | 8255 | 7170 |
| 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)))))))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4))))))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4))))))))) |
(/ 1 b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b) |
(/ -1 b) |
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b)) |
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b)) |
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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)) |
(* -1/2 (/ 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) |
(/ 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))))) |
(* -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 (/ 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 |
(+ 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)))) |
(/ -1/4 (* a c)) |
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c)))) |
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c)))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c)))) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(/ -1/4 (* a c)) |
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a) |
(/ -1/4 (* a c)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(/ 1 (pow b 2)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(/ -1/4 (* a c)) |
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c) |
(/ -1/4 (* a c)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 1/2 (/ a b)) |
(* 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) |
(* -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)) |
| Outputs |
|---|
(* 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 #s(literal -1/2 binary64) 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 #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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.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 b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -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) |
(/ (+ (* -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 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) a))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) 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 a (*.f64 c c)) (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 (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 a (*.f64 c c)) (*.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 #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 #s(literal -1/2 binary64) 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 (*.f64 #s(literal -1/2 binary64) b) a) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.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 (*.f64 #s(literal -1/2 binary64) b) a) (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.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))))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) 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))) |
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.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 (/ 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 0 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) 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 a (*.f64 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 #s(literal -1/4 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) (*.f64 a b)))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) 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)))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))) |
(* 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)))))) |
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b |
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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 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))) |
(+ 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))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -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 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a)) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) 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 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -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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(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1/4 binary64))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
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(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b) |
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(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b) |
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(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c a)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
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(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 a (*.f64 c c))))) a) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 a (*.f64 c c))) (+.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)))))) a) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 a (*.f64 c c)))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c c))) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 c c)) (/.f64 (pow.f64 b #s(literal 4 binary64)) c))) (neg.f64 a)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (neg.f64 a)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))))) |
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))))) |
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 c (+.f64 (*.f64 c (-.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 8 binary64))))) (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))))) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c c))) (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))))) c) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c c)))))) c) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a)))) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 a (*.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 a a))) c)) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 4 binary64)) a))) (-.f64 #s(literal 0 binary64) c)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (-.f64 #s(literal 0 binary64) c)) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 (/ a b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) a) b) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
Compiled 26312 to 3258 computations (87.6% saved)
45 alts after pruning (39 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1102 | 16 | 1118 |
| Fresh | 3 | 23 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1107 | 45 | 1152 |
| Status | Accuracy | Program |
|---|---|---|
| 28.7% | (/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) | |
| 12.3% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (*.f64 a #s(literal 2 binary64))) | |
| 29.4% | (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) | |
| ▶ | 48.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
| 23.6% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c))) b) (*.f64 a #s(literal 2 binary64))) | |
| 30.5% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 34.8% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) | |
| 12.3% | (/.f64 (-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))))) b) (*.f64 a #s(literal 2 binary64))) | |
| ✓ | 12.9% | (/.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))) |
| 12.8% | (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b)))))) b) (*.f64 a #s(literal 2 binary64))) | |
| 19.7% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) | |
| ✓ | 23.8% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
| 32.8% | (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) | |
| 16.7% | (/.f64 (-.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 20.8% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
| 7.1% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 b b))) | |
| 11.2% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) (*.f64 a (*.f64 b b))) | |
| 31.3% | (/.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))) | |
| 36.0% | (/.f64 c (-.f64 #s(literal 0 binary64) b)) | |
| 12.8% | (/.f64 c b) | |
| ✓ | 31.7% | (/.f64 b (neg.f64 a)) |
| ▶ | 2.5% | (/.f64 b a) |
| 31.6% | (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b))) | |
| 2.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) (/.f64 (/.f64 b a) #s(literal 1/2 binary64)))))) | |
| 23.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) | |
| 35.4% | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c)) | |
| ✓ | 35.6% | (/.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 #s(literal 1/2 binary64) a) b)) | |
| ✓ | 48.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| ▶ | 32.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
| 35.9% | (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))))) | |
| 18.5% | (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))) | |
| 32.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a)) | |
| 35.6% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b)) | |
| 31.6% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a)) | |
| ▶ | 25.7% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
| 35.4% | (/.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)))) | |
| 31.5% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 24.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b c)) | |
| 12.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 b (*.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) #s(literal 1 binary64))) b)) | |
| 48.8% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) | |
| 31.6% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) | |
| 30.4% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (-.f64 #s(literal 0 binary64) b)) | |
| 12.7% | (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) | |
| ✓ | 13.0% | #s(literal 0 binary64) |
Compiled 1623 to 1010 computations (37.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
| ✓ | cost-diff | 128 | (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a) |
| ✓ | cost-diff | 0 | (*.f64 a b) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (*.f64 b b)) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
| 2422× | *-lowering-*.f32 |
| 2422× | *-lowering-*.f64 |
| 2388× | --lowering--.f32 |
| 2388× | --lowering--.f64 |
| 1650× | fma-define |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 222 |
| 1 | 85 | 217 |
| 2 | 195 | 215 |
| 3 | 427 | 208 |
| 4 | 857 | 204 |
| 5 | 2525 | 204 |
| 6 | 5994 | 202 |
| 0 | 8541 | 202 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)) b) (* a 2)) |
(- (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)) b) |
(/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)) |
1 |
(pow (+ (* b b) (* a (* c -4))) -1/2) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
a |
(* c -4) |
c |
-4 |
-1/2 |
(* a 2) |
2 |
(/ b a) |
b |
a |
(/ (- 0 (* b b)) (* a b)) |
(- 0 (* b b)) |
0 |
(* b b) |
b |
(* a b) |
a |
(/ 1/2 (* (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) a)) |
1/2 |
(* (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) a) |
(* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) |
b |
(+ (/ 1/2 (* b b)) (/ -1/2 (* c a))) |
(/ 1/2 (* b b)) |
(* b b) |
(/ -1/2 (* c a)) |
-1/2 |
(* c a) |
c |
a |
(/ 1/2 (/ a (- (sqrt (* -4 (* c a))) b))) |
1/2 |
(/ a (- (sqrt (* -4 (* c a))) b)) |
a |
(- (sqrt (* -4 (* c a))) b) |
(sqrt (* -4 (* c a))) |
(* -4 (* c a)) |
-4 |
(* c a) |
c |
b |
| Outputs |
|---|
(/ (- (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)) b) (* a 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(- (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)) b) |
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64))) b) |
(/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(pow (+ (* b b) (* a (* c -4))) -1/2) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
a |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ b a) |
(/.f64 b a) |
b |
a |
(/ (- 0 (* b b)) (* a b)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(- 0 (* b b)) |
(-.f64 #s(literal 0 binary64) (*.f64 b b)) |
0 |
#s(literal 0 binary64) |
(* b b) |
(*.f64 b b) |
b |
(* a b) |
(*.f64 b a) |
a |
(/ 1/2 (* (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) a) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -2 binary64))))) |
b |
(+ (/ 1/2 (* b b)) (/ -1/2 (* c a))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))) |
(/ 1/2 (* b b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(* b b) |
(*.f64 b b) |
(/ -1/2 (* c a)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 a c)) |
-1/2 |
#s(literal -1/2 binary64) |
(* c a) |
(*.f64 a c) |
c |
a |
(/ 1/2 (/ a (- (sqrt (* -4 (* c a))) b))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(/ a (- (sqrt (* -4 (* c a))) b)) |
(/.f64 a (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b)) |
a |
(- (sqrt (* -4 (* c a))) b) |
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) |
(sqrt (* -4 (* c a))) |
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* c a)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
-4 |
#s(literal -4 binary64) |
(* c a) |
(*.f64 a c) |
c |
b |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -4 binary64) (*.f64 c a)) |
| ✓ | accuracy | 99.8% | (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
| ✓ | accuracy | 85.1% | (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
| ✓ | accuracy | 96.5% | (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a) |
| ✓ | accuracy | 82.0% | (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 100.0% | (*.f64 a b) |
| ✓ | accuracy | 73.9% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 97.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 90.8% | (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) b) |
| ✓ | accuracy | 75.9% | (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) |
| 80.0ms | 131× | 0 | valid |
| 43.0ms | 84× | 0 | invalid |
| 36.0ms | 14× | 3 | valid |
| 28.0ms | 17× | 2 | valid |
| 10.0ms | 10× | 1 | valid |
Compiled 246 to 35 computations (85.8% saved)
ival-div: 21.0ms (26.9% of total)ival-mult: 20.0ms (25.6% of total)ival-pow: 16.0ms (20.5% of total)backward-pass: 7.0ms (9% of total)ival-sub: 5.0ms (6.4% of total)ival-sqrt: 3.0ms (3.8% of total)ival-add: 3.0ms (3.8% of total)const: 1.0ms (1.3% of total)| Inputs |
|---|
#<alt (/ (- (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)) b) (* a 2))> |
#<alt (- (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)) b)> |
#<alt (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2))> |
#<alt (pow (+ (* b b) (* a (* c -4))) -1/2)> |
#<alt (/ b a)> |
#<alt (/ (- 0 (* b b)) (* a b))> |
#<alt (- 0 (* b b))> |
#<alt (* b b)> |
#<alt (* a b)> |
#<alt (* (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) a)> |
#<alt (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a))))> |
#<alt (/ 1/2 (* (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) a))> |
#<alt (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))> |
#<alt (/ 1/2 (/ a (- (sqrt (* -4 (* c a))) b)))> |
#<alt (/ a (- (sqrt (* -4 (* c a))) b))> |
#<alt (- (sqrt (* -4 (* c a))) b)> |
#<alt (sqrt (* -4 (* c a)))> |
#<alt (/ 1/2 (* b b))> |
#<alt (* -4 (* c a))> |
| 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))))> |
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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 (* 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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#<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))))))))> |
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#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))> |
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#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))> |
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#<alt (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))> |
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#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
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#<alt (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))> |
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#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
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#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<alt (/ 1/2 b)> |
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<alt (* -1/2 (/ b (* a c)))> |
#<alt (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)> |
#<alt (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)> |
#<alt (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)> |
#<alt (/ 1/2 b)> |
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<alt (/ 1/2 b)> |
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<alt (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))> |
#<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 (* 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 3) (* a c)) (/ (pow b 5) (* (pow a 2) (pow c 2))))) a)> |
#<alt (/ (+ b (+ (/ (pow b 3) (* a c)) (+ (/ (pow b 5) (* (pow a 2) (pow c 2))) (/ (pow b 7) (* (pow a 3) (pow c 3)))))) a)> |
#<alt (/ b a)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) c) (/ (pow b 5) (* a (pow c 2)))) a))) a))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 5) (pow c 2))) (* -1 (/ (pow b 7) (* a (pow c 3))))) a)) (/ (pow b 3) c)) a))) a))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) (pow b 2))> |
#<alt (/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) (pow b 2))> |
#<alt (/ (+ 1/2 (* -1/2 (/ (pow b 2) (* a c)))) (pow b 2))> |
#<alt (/ -1/2 (* a c))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (/ -1/2 (* a c))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (/ -1/2 (* a c))> |
#<alt (/ (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))) c)> |
#<alt (/ (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))) c)> |
#<alt (/ (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))) c)> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (/ -1/2 (* a c))> |
#<alt (/ (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) a)> |
#<alt (/ (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) a)> |
#<alt (/ (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))) a)> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<alt (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))> |
#<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 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))> |
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))> |
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))> |
#<alt (- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ (pow b 3) (* a (* (pow c 2) (pow (sqrt -4) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))))> |
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))> |
#<alt (+ (* -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 (/ (- (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 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 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))> |
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))> |
#<alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c)> |
#<alt (/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)> |
#<alt (/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (/ b (pow (sqrt -4) 2))))) 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)))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (* (pow b 3) c) a)) (* -1/8 (* (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)) (/ 1 (sqrt -4)))> |
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))> |
#<alt (+ (* b (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (+ (* b (+ (* b (- (/ b (* a (* (pow c 2) (pow (sqrt -4) 4)))) (* -1 (* (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 (/ a b))> |
#<alt (/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)> |
#<alt (/ (- (+ (* -1 a) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2)))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b)> |
#<alt (/ (- (+ (* -1 a) (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))) (+ (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)) (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2)))) b)> |
#<alt (* -1 (/ a b))> |
#<alt (* -1 (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b))> |
#<alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b))> |
#<alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b)) (* -1 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) 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)) 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 (pow b 2))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (/ 1/2 (pow b 2))> |
#<alt (/ 1/2 (pow b 2))> |
#<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))> |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | a | @ | -inf | (* (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) a) |
| 2.0ms | b | @ | inf | (* (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) a) |
| 2.0ms | c | @ | 0 | (/ a (- (sqrt (* -4 (* c a))) b)) |
| 1.0ms | a | @ | 0 | (/ 1/2 (/ a (- (sqrt (* -4 (* c a))) b))) |
| 1.0ms | b | @ | 0 | (* (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) a) |
| 1× | batch-egg-rewrite |
| 1218× | *-lowering-*.f32 |
| 1218× | *-lowering-*.f64 |
| 1212× | /-lowering-/.f32 |
| 1212× | /-lowering-/.f64 |
| 364× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 163 |
| 1 | 220 | 156 |
| 0 | 2103 | 156 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)) b) (* a 2)) |
(- (/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)) b) |
(/ 1 (pow (+ (* b b) (* a (* c -4))) -1/2)) |
(pow (+ (* b b) (* a (* c -4))) -1/2) |
(/ b a) |
(/ (- 0 (* b b)) (* a b)) |
(- 0 (* b b)) |
(* b b) |
(* a b) |
(* (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) a) |
(* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) |
(/ 1/2 (* (* b (+ (/ 1/2 (* b b)) (/ -1/2 (* c a)))) a)) |
(+ (/ 1/2 (* b b)) (/ -1/2 (* c a))) |
(/ 1/2 (/ a (- (sqrt (* -4 (* c a))) b))) |
(/ a (- (sqrt (* -4 (* c a))) b)) |
(- (sqrt (* -4 (* c a))) b) |
(sqrt (* -4 (* c a))) |
(/ 1/2 (* b b)) |
(* -4 (* c a)) |
| Outputs |
|---|
(+.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 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)))) |
(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 (-.f64 #s(literal 0 binary64) (-.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 binary64) (/.f64 (*.f64 a #s(literal 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 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal 1 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 (-.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 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.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 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 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 1 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.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))))) b) 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))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.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 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 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 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.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 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal 3 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 (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 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 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))))) (*.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 b (*.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 b (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 1 binary64)) (*.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 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) (*.f64 b b)) (/.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))))) b) #s(literal 2 binary64)) a) |
(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal -1 binary64)) |
(*.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)))) |
(*.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 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal 1/2 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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 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 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 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 1 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 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 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) (*.f64 b b)))) |
(/.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 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 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 1 binary64)) (*.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) (*.f64 b b))) (neg.f64 (+.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)) (pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b))) |
(*.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 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 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 1 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.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 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 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 -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.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))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 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))) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (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 (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/4 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 -1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (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 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 b (-.f64 #s(literal 0 binary64) a))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 1 binary64))) |
(/.f64 b a) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a b))) |
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 b #s(literal 1 binary64)) a) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (neg.f64 (-.f64 #s(literal 0 binary64) a))) |
(pow.f64 (/.f64 a b) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 b a)) |
(*.f64 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a) b)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (*.f64 b a))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 b a))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b b)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a))) |
(/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 b a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b a)) |
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(/.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)) (sqrt.f64 (*.f64 a c))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (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))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1/2 binary64) b))) |
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) b) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (-.f64 #s(literal 0 binary64) b)) |
(pow.f64 (/.f64 (*.f64 b b) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
(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 (*.f64 a c) #s(literal -4 binary64)) |
(*.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 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)))) |
(*.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))) (sqrt.f64 (*.f64 a c))) |
| 1× | egg-herbie |
| 6082× | *-lowering-*.f32 |
| 6082× | *-lowering-*.f64 |
| 5146× | +-lowering-+.f64 |
| 5146× | +-lowering-+.f32 |
| 1486× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1075 | 8125 |
| 1 | 3721 | 7624 |
| 0 | 8266 | 7624 |
| 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)))))))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4))))))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4))))))))) |
(/ 1 b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b) |
(/ -1 b) |
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)) |
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(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (* (pow b 3) c) a)) (* -1/8 (* (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)) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(+ (* b (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (/ b (* a (* (pow c 2) (pow (sqrt -4) 4)))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(* -1 (/ a b)) |
(/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b) |
(/ (- (+ (* -1 a) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2)))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b) |
(/ (- (+ (* -1 a) (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))) (+ (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)) (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2)))) b) |
(* -1 (/ a b)) |
(* -1 (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b)) |
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b)) |
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b)) (* -1 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b)) |
(- (* (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 (pow b 2)) |
(/ 1/2 (pow b 2)) |
(/ 1/2 (pow b 2)) |
(/ 1/2 (pow b 2)) |
(/ 1/2 (pow b 2)) |
(/ 1/2 (pow b 2)) |
(/ 1/2 (pow b 2)) |
(/ 1/2 (pow b 2)) |
(/ 1/2 (pow b 2)) |
(/ 1/2 (pow b 2)) |
(/ 1/2 (pow b 2)) |
(/ 1/2 (pow b 2)) |
(* -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)) |
| Outputs |
|---|
(* 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 #s(literal -1/2 binary64) 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 #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 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 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) |
(/ (+ (* -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 a #s(literal 4 binary64)) (pow.f64 c #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)))) |
(*.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 a (*.f64 c c)) (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 (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ c b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 a (*.f64 c c)) (*.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 #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 #s(literal -1/2 binary64) 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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (+.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 #s(literal -1/2 binary64) b) a))) |
(+ (* -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 #s(literal -1/2 binary64) b) a) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (+.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 #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))))))))) |
(* -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 #s(literal -1/2 binary64) 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)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) 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))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.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 (/ 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 0 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) 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 a (*.f64 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 #s(literal -1/4 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) (*.f64 a b)))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) 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)))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))) |
(* 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)))))) |
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c a)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))))) |
(* 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))))))) |
(*.f64 c (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c a))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) |
(* -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))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) c))) |
(* -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))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
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b |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
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(/ 1 b) |
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(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
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(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) c) |
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (+.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) c) |
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (/ b (pow (sqrt -4) 2))))) c) |
(/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (-.f64 (/.f64 b #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) c) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) |
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(/.f64 (+.f64 (*.f64 b #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 c b))) c)) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (* (pow b 3) c) a)) (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 b (*.f64 b b)))) a) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) a))))) (-.f64 #s(literal 0 binary64) c)) (*.f64 #s(literal -1/4 binary64) (*.f64 c b))) c)) (-.f64 #s(literal 0 binary64) c)) |
(* (sqrt (/ a c)) (/ 1 (sqrt -4))) |
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (/.f64 b c) #s(literal -4 binary64))) |
(+ (* b (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64)))))) |
(+ (* b (+ (* b (- (/ b (* a (* (pow c 2) (pow (sqrt -4) 4)))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 (/.f64 b (*.f64 (*.f64 a (*.f64 c c)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))) |
(* -1 (/ a b)) |
(-.f64 #s(literal 0 binary64) (/.f64 a b)) |
(/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 (sqrt.f64 #s(literal -4 binary64)) b) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) b) |
(/ (- (+ (* -1 a) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2)))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal 4 binary64)) (*.f64 b b)) a) (*.f64 (/.f64 (sqrt.f64 #s(literal -4 binary64)) b) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) b) |
(/ (- (+ (* -1 a) (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))) (+ (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)) (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2)))) b) |
(/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (*.f64 b b))))) (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal 4 binary64)) (*.f64 b b)) (*.f64 (/.f64 (sqrt.f64 #s(literal -4 binary64)) b) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))))) b) |
(* -1 (/ a b)) |
(-.f64 #s(literal 0 binary64) (/.f64 a b)) |
(* -1 (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) b)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 (sqrt.f64 #s(literal -4 binary64)) b) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) b) |
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b)) |
(/.f64 (-.f64 a (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal 4 binary64)) b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) b)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b)) (* -1 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) b))) b)) |
(/.f64 (-.f64 a (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))) b)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) b)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) b)) (-.f64 #s(literal 0 binary64) b)) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(* (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)))) |
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 b c) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 b c) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 b c) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (+.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (+.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (+.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) a)) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(*.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)) #s(literal -1 binary64))) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(*.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)) #s(literal -1 binary64))) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(*.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)) #s(literal -1 binary64))) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b))) (-.f64 #s(literal 0 binary64) b)) |
(* (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 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 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))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/ 1/2 (pow b 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
Compiled 19663 to 2586 computations (86.8% saved)
54 alts after pruning (46 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 921 | 22 | 943 |
| Fresh | 10 | 24 | 34 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 934 | 54 | 988 |
| Status | Accuracy | Program |
|---|---|---|
| 21.8% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a) | |
| 31.2% | (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) | |
| 32.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) | |
| 12.3% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (*.f64 a #s(literal 2 binary64))) | |
| 29.4% | (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) | |
| ✓ | 48.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
| 23.6% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c))) b) (*.f64 a #s(literal 2 binary64))) | |
| 30.5% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 12.3% | (/.f64 (-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))))) b) (*.f64 a #s(literal 2 binary64))) | |
| ✓ | 12.9% | (/.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))) |
| 12.8% | (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b)))))) b) (*.f64 a #s(literal 2 binary64))) | |
| 19.7% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) | |
| 32.8% | (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) | |
| 8.6% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b a) (*.f64 b b))) | |
| 7.1% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 b b))) | |
| 11.2% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) (*.f64 a (*.f64 b b))) | |
| 9.3% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 b b)) | |
| 31.3% | (/.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))) | |
| 26.2% | (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) | |
| 20.8% | (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a b)) | |
| 36.0% | (/.f64 c (-.f64 #s(literal 0 binary64) b)) | |
| 12.8% | (/.f64 c b) | |
| ✓ | 31.7% | (/.f64 b (neg.f64 a)) |
| ✓ | 2.5% | (/.f64 b a) |
| 19.9% | (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a))) | |
| 2.5% | (/.f64 #s(literal 1 binary64) (/.f64 a b)) | |
| 31.6% | (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b))) | |
| 23.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) | |
| 35.4% | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c)) | |
| ✓ | 35.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
| 17.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b))) | |
| ✓ | 48.9% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| ✓ | 32.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
| 35.9% | (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))))) | |
| 8.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c)))) (*.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))))) a)) | |
| 32.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) a)) | |
| 35.6% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b)) | |
| 31.6% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a)) | |
| 25.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c)))) a)) | |
| 16.1% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))) a)) | |
| 8.9% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 b b) #s(literal 1/2 binary64))))) a)) | |
| 25.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) c)) a)) | |
| 2.3% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)) | |
| 3.4% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) | |
| 24.5% | (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) | |
| 35.4% | (/.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) | |
| 31.5% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 19.9% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b)) | |
| 12.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 b (*.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) #s(literal 1 binary64))) b)) | |
| 32.8% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) | |
| 31.6% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) | |
| 30.4% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (-.f64 #s(literal 0 binary64) b)) | |
| 12.7% | (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) | |
| ✓ | 13.0% | #s(literal 0 binary64) |
Compiled 2323 to 994 computations (57.2% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.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 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) |
(*.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 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (-.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 b (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 b (*.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) #s(literal 1 binary64))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b c)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) (*.f64 a (*.f64 b b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b a) (*.f64 b b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) c)) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c)))) a)) |
(/.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 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b)))))) 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 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 b b) #s(literal 1/2 binary64))))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) (/.f64 (/.f64 b a) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.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 #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 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(*.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 #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 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c)))) (*.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))))) a)) |
(/.f64 (-.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/2 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 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 0 binary64) (/.f64 c b)) |
4 calls:
| 41.0ms | b |
| 37.0ms | a |
| 22.0ms | c |
| 20.0ms | (/.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 |
|---|---|---|
| 58.1% | 6 | a |
| 86.0% | 3 | b |
| 50.8% | 2 | 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 |
|---|
#s(literal 0 binary64) |
(/.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 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) |
(*.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 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (-.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 b (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 b (*.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) #s(literal 1 binary64))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b c)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) (*.f64 a (*.f64 b b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b a) (*.f64 b b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) c)) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c)))) a)) |
(/.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 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b)))))) 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 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 b b) #s(literal 1/2 binary64))))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) (/.f64 (/.f64 b a) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.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 #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 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(*.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 c b) (/.f64 b a)) |
(/.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 0 binary64) (/.f64 c b)) |
1 calls:
| 18.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.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 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) |
(*.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 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (-.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 b (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 b (*.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) #s(literal 1 binary64))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b c)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) (*.f64 a (*.f64 b b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b a) (*.f64 b b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) c)) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c)))) a)) |
(/.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 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b)))))) 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 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 b b) #s(literal 1/2 binary64))))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) (/.f64 (/.f64 b a) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.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 #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 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(*.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 c b) (/.f64 b a)) |
(*.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 0 binary64) (/.f64 c b)) |
1 calls:
| 19.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.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 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) |
(*.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 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (-.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 b (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 b (*.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) #s(literal 1 binary64))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b c)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) (*.f64 a (*.f64 b b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b a) (*.f64 b b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) c)) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c)))) a)) |
(/.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 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b)))))) 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 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 b b) #s(literal 1/2 binary64))))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) (/.f64 (/.f64 b a) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.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 #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 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
1 calls:
| 18.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.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 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) |
(*.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 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (-.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 b (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 b (*.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) #s(literal 1 binary64))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b c)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) (*.f64 a (*.f64 b b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b a) (*.f64 b b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) c)) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c)))) a)) |
(/.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 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b)))))) 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 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 b b) #s(literal 1/2 binary64))))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) (/.f64 (/.f64 b a) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.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)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
1 calls:
| 18.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.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 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) |
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)) |
(*.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 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (-.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 b (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 b (*.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) #s(literal 1 binary64))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 c (*.f64 a #s(literal 1/2 binary64))))) (*.f64 b c)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) (*.f64 a (*.f64 b b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b a) (*.f64 b b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 a c))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) c)) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 b (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 b (/.f64 #s(literal -1/2 binary64) (*.f64 a c)))) a)) |
(/.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 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 b b)) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b)))))) 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 (*.f64 (-.f64 (*.f64 b b) (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 b b))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 b b) #s(literal 1/2 binary64))) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 b b) #s(literal 1/2 binary64))))) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 c (*.f64 b #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 b a) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) (*.f64 c a)))) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal 1/4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b) (/.f64 (*.f64 a (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) b)))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) c) (/.f64 c (*.f64 b #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c)) (/.f64 (/.f64 b a) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.4% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.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)) |
#s(literal 0 binary64) |
3 calls:
| 3.0ms | c |
| 2.0ms | a |
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.7% | 1 | c |
| 31.7% | 1 | a |
| 42.1% | 2 | b |
Compiled 12 to 9 computations (25% saved)
Total -7.3b remaining (-13.2%)
Threshold costs -7.3b (-13.2%)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 b a) |
(/.f64 c b) |
| Outputs |
|---|
#s(literal 0 binary64) |
3 calls:
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.0% | 1 | a |
| 13.0% | 1 | c |
| 13.0% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 4.093558757589089e-56 | 3.2932802250090256e-53 |
| 22.0ms | -2.8182101364286504e+154 | -2.3498921506693135e+146 |
| 27.0ms | 227× | 0 | valid |
| 6.0ms | 29× | 1 | valid |
| 5.0ms | 16× | 2 | valid |
| 3.0ms | 29× | 0 | invalid |
Compiled 537 to 376 computations (30% saved)
ival-mult: 10.0ms (37.3% of total)ival-div: 6.0ms (22.4% of total)ival-sqrt: 3.0ms (11.2% of total)ival-sub: 2.0ms (7.5% of total)ival-neg: 2.0ms (7.5% of total)ival-add: 2.0ms (7.5% of total)backward-pass: 1.0ms (3.7% of total)const: 1.0ms (3.7% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 4.093558757589089e-56 | 3.2932802250090256e-53 |
| 19.0ms | -3.321362132202816e+145 | -3.990878551384945e+141 |
| 20.0ms | 204× | 0 | valid |
| 10.0ms | 29× | 1 | valid |
| 7.0ms | 23× | 2 | valid |
| 2.0ms | 26× | 0 | invalid |
Compiled 506 to 355 computations (29.8% saved)
ival-mult: 9.0ms (34.8% of total)ival-neg: 5.0ms (19.3% of total)ival-div: 3.0ms (11.6% of total)ival-sqrt: 3.0ms (11.6% of total)ival-sub: 2.0ms (7.7% of total)ival-add: 2.0ms (7.7% of total)backward-pass: 1.0ms (3.9% of total)const: 1.0ms (3.9% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 4.093558757589089e-56 | 3.2932802250090256e-53 |
| 34.0ms | -3.990878551384945e+141 | -6.076304529475451e+126 |
| 27.0ms | 235× | 0 | valid |
| 8.0ms | 25× | 2 | valid |
| 6.0ms | 28× | 1 | valid |
| 4.0ms | 18× | 0 | invalid |
Compiled 568 to 397 computations (30.1% saved)
ival-mult: 12.0ms (45.5% of total)ival-div: 3.0ms (11.4% of total)ival-sqrt: 3.0ms (11.4% of total)ival-sub: 2.0ms (7.6% of total)ival-neg: 2.0ms (7.6% of total)ival-add: 2.0ms (7.6% of total)const: 1.0ms (3.8% of total)backward-pass: 1.0ms (3.8% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 4.093558757589089e-56 | 3.2932802250090256e-53 |
| 24.0ms | -4.274374148104676e-65 | -5.5250067972211916e-73 |
| 25.0ms | 213× | 0 | valid |
| 8.0ms | 45× | 0 | invalid |
| 8.0ms | 36× | 1 | valid |
| 7.0ms | 23× | 2 | valid |
Compiled 469 to 342 computations (27.1% saved)
ival-mult: 10.0ms (37.4% of total)ival-sub: 4.0ms (14.9% of total)ival-div: 3.0ms (11.2% of total)ival-sqrt: 3.0ms (11.2% of total)backward-pass: 2.0ms (7.5% of total)ival-neg: 2.0ms (7.5% of total)ival-add: 2.0ms (7.5% of total)const: 1.0ms (3.7% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 4.093558757589089e-56 | 3.2932802250090256e-53 |
| 25.0ms | -4.274374148104676e-65 | -5.5250067972211916e-73 |
| 32.0ms | 234× | 0 | valid |
| 6.0ms | 20× | 2 | valid |
| 4.0ms | 41× | 0 | invalid |
| 4.0ms | 18× | 1 | valid |
Compiled 469 to 342 computations (27.1% saved)
ival-mult: 11.0ms (44.6% of total)ival-div: 3.0ms (12.2% of total)ival-sqrt: 3.0ms (12.2% of total)ival-sub: 2.0ms (8.1% of total)ival-neg: 2.0ms (8.1% of total)ival-add: 2.0ms (8.1% of total)backward-pass: 1.0ms (4.1% of total)const: 1.0ms (4.1% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 4.473842154878098e-267 | 5.9218859425447984e-266 |
| 9.0ms | 95× | 0 | valid |
| 8.0ms | 54× | 0 | invalid |
| 0.0ms | 1× | 1 | valid |
Compiled 128 to 97 computations (24.2% saved)
ival-mult: 6.0ms (52.1% of total)ival-div: 1.0ms (8.7% of total)ival-add: 1.0ms (8.7% of total)ival-sub: 1.0ms (8.7% of total)ival-sqrt: 1.0ms (8.7% of total)ival-neg: 1.0ms (8.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | -4.191939786560838e-289 | -3.5007793876468235e-292 |
| 14.0ms | 128× | 0 | valid |
| 11.0ms | 95× | 0 | invalid |
Compiled 130 to 107 computations (17.7% saved)
ival-mult: 6.0ms (41.7% of total)ival-add: 3.0ms (20.9% of total)ival-div: 2.0ms (13.9% of total)ival-sqrt: 2.0ms (13.9% of total)ival-sub: 1.0ms (7% of total)ival-neg: 1.0ms (7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 20× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 10× | neg-mul-1_binary64 |
| 8× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 189 |
| 1 | 91 | 189 |
| 2 | 107 | 189 |
| 3 | 115 | 189 |
| 4 | 119 | 189 |
| 5 | 120 | 189 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -240000000000000019562252236680339583670148823394302242175816974159939858942482840489469169799988105790915063112819518345146473967791478722495774720 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4744950613418513/431359146674410236714672241392314090778194310760649159697657763987456 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 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -4699999999999999792096672802206920345589370259931645142942106838990002764436763768682432585951701327410875351522339350739663716267993660915712 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 3235193600058077/107839786668602559178668060348078522694548577690162289924414440996864 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 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 2484628684844603/13803492693581127574869511724554050904902217944340773110325048447598592 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 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -7398836601250335/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6183964726724345/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -130547349557569/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6125299882776625/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal 2613896909433603/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (<=.f64 b #s(literal -7977263285951527/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -240000000000000019562252236680339583670148823394302242175816974159939858942482840489469169799988105790915063112819518345146473967791478722495774720 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4744950613418513/431359146674410236714672241392314090778194310760649159697657763987456 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 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -4699999999999999792096672802206920345589370259931645142942106838990002764436763768682432585951701327410875351522339350739663716267993660915712 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 3235193600058077/107839786668602559178668060348078522694548577690162289924414440996864 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 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 2484628684844603/13803492693581127574869511724554050904902217944340773110325048447598592 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 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -34000000000000000555049428000961945835483583102563990719213399651840577851492842524241338728481046843680334215446363510395457503232 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 2484628684844603/13803492693581127574869511724554050904902217944340773110325048447598592 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 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -7398836601250335/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6183964726724345/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -130547349557569/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6125299882776625/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal 2613896909433603/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (<=.f64 b #s(literal 2613896909433603/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (<=.f64 b #s(literal -7977263285951527/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64)) |
(if (<=.f64 b #s(literal -7977263285951527/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| 6770× | *-lowering-*.f32 |
| 6770× | *-lowering-*.f64 |
| 5864× | *-lowering-*.f32 |
| 5864× | *-lowering-*.f64 |
| 4744× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 63 | 39 |
| 2 | 539 | 39 |
| 3 | 7590 | 39 |
| 0 | 8090 | 39 |
| 0 | 543 | 3071 |
| 1 | 1886 | 2859 |
| 2 | 7132 | 2847 |
| 0 | 8001 | 2847 |
| 0 | 34 | 163 |
| 1 | 220 | 156 |
| 0 | 2103 | 156 |
| 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 |
| 0 | 1062 | 8491 |
| 1 | 3843 | 7799 |
| 0 | 8723 | 7799 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 607 to 371 computations (38.9% saved)
Compiled 440 to 166 computations (62.3% saved)
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