
Time bar (total: 13.0s)
| 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-sub: 42.0ms (37.3% of total)ival-mult: 38.0ms (33.8% of total)ival-neg: 12.0ms (10.7% of total)ival-sqrt: 10.0ms (8.9% of total)ival-div: 8.0ms (7.1% of total)const: 2.0ms (1.8% of total)backward-pass: 1.0ms (0.9% of total)| 690.0ms | 1927× | 2 | valid |
| 608.0ms | 5526× | 0 | valid |
| 193.0ms | 803× | 1 | valid |
| 91.0ms | 953× | 0 | invalid |
ival-mult: 426.0ms (40.3% of total)ival-sub: 162.0ms (15.3% of total)ival-sqrt: 148.0ms (14% of total)ival-div: 114.0ms (10.8% of total)ival-neg: 106.0ms (10% of total)backward-pass: 80.0ms (7.6% of total)const: 21.0ms (2% of total)| 2× | egg-herbie |
| 2518× | fnmadd-define |
| 1718× | fmsub-define |
| 1692× | fnmsub-define |
| 1418× | fmm-def |
| 1228× | fma-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 165 |
| 1 | 215 | 158 |
| 2 | 663 | 154 |
| 3 | 2342 | 150 |
| 4 | 6971 | 150 |
| 0 | 14 | 16 |
| 1 | 38 | 16 |
| 2 | 100 | 16 |
| 3 | 269 | 15 |
| 4 | 493 | 15 |
| 5 | 1002 | 15 |
| 6 | 3154 | 15 |
| 7 | 5807 | 15 |
| 8 | 6441 | 15 |
| 9 | 7371 | 15 |
| 10 | 7536 | 15 |
| 11 | 7576 | 15 |
| 12 | 7582 | 15 |
| 0 | 7582 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 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 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
| 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)) |
(/ (+ b (sqrt (fma a (* c -4) (* b b)))) (* a -2)) |
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))) |
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a 2)) |
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)) |
(/ (- b (sqrt (fma a (* c -4) (* b b)))) (* a 2)) |
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)) |
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a -2)) |
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))) |
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a -2)) |
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))) |
(/ (- b (sqrt (fma a (* c -4) (* b b)))) (* a -2)) |
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))) |
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a 2)) |
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b)) |
(/ (+ a (sqrt (fmsub a a (* b (* 4 c))))) (* b -2)) |
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c)) |
(/ (+ b (sqrt (fma a (* c -4) (* b b)))) (* c -2)) |
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a)) |
(/ (+ c (sqrt (fmsub c c (* b (* 4 a))))) (* a -2)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 103 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 65 | 0 | - | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 16 | 1 | (-8.307537053568217e-120 -8.097717921299021e+151 1.0266715504415882e-171) | 0 | - | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 5 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| 0 | 0 | - | 0 | - | b |
| 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 b b) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | a |
| 426.0ms | 322× | 0 | valid |
| 49.0ms | 124× | 2 | valid |
| 45.0ms | 66× | 1 | valid |
Compiled 168 to 44 computations (73.8% saved)
ival-mult: 432.0ms (92.4% of total)ival-sub: 9.0ms (1.9% of total)ival-sqrt: 7.0ms (1.5% of total)backward-pass: 7.0ms (1.5% of total)ival-div: 6.0ms (1.3% of total)ival-neg: 5.0ms (1.1% of total)const: 1.0ms (0.2% of total)Compiled 19 to 13 computations (31.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.2% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
| 30× | *-lowering-*.f32 |
| 30× | *-lowering-*.f64 |
| 14× | fma-lowering-fma.f32 |
| 14× | fma-define |
| 14× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 72 |
| 1 | 22 | 72 |
| 2 | 35 | 72 |
| 3 | 41 | 72 |
| 0 | 41 | 72 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
b |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
-2 |
| Outputs |
|---|
(/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
b |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* c (* a -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
-2 |
#s(literal -2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 94.1% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
| ✓ | accuracy | 76.0% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 62.5% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| 30.0ms | 62× | 2 | valid |
| 19.0ms | 161× | 0 | valid |
| 8.0ms | 33× | 1 | valid |
Compiled 81 to 14 computations (82.7% saved)
ival-div: 9.0ms (30.1% of total)ival-mult: 9.0ms (30.1% of total)ival-sqrt: 4.0ms (13.4% of total)ival-add: 4.0ms (13.4% of total)backward-pass: 3.0ms (10% of total)const: 1.0ms (3.3% of total)| Inputs |
|---|
#<alt (/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a)> |
#<alt (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2)> |
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))> |
#<alt (sqrt (+ (* b b) (* c (* a -4))))> |
#<alt (+ (* b b) (* c (* a -4)))> |
| Outputs |
|---|
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2)))> |
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2)))> |
#<alt (* -1 b)> |
#<alt (* b (- (/ (* a c) (pow b 2)) 1))> |
#<alt (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1))> |
#<alt (* -1 (/ (* a c) b))> |
#<alt (* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 b)> |
#<alt (+ (* -1 b) (/ (* a c) b))> |
#<alt (+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) c)))))> |
#<alt (* -1 b)> |
#<alt (+ (* -1 b) (/ (* a c) b))> |
#<alt (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))> |
#<alt (* 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)))))))> |
#<alt (* 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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))))> |
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))))> |
#<alt (* -1 (* 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)))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 b)> |
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* 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 (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -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 (* -1 (/ (+ (* -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 (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (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 (* 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 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 (* -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 (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (pow b 2)> |
#<alt (+ (* -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))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | a | @ | 0 | (+ (* b b) (* c (* a -4))) |
| 1.0ms | c | @ | inf | (/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
| 1.0ms | b | @ | 0 | (/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
| 1.0ms | c | @ | -inf | (/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
| 1.0ms | b | @ | inf | (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) |
| 1× | batch-egg-rewrite |
| 4062× | *-lowering-*.f32 |
| 4062× | *-lowering-*.f64 |
| 2558× | /-lowering-/.f32 |
| 2558× | /-lowering-/.f64 |
| 2020× | sum3-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 56 |
| 1 | 66 | 56 |
| 2 | 540 | 56 |
| 3 | 6544 | 56 |
| 0 | 8057 | 56 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))))) |
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal 2 binary64)))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (neg.f64 (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) a))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) a)) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))))) |
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(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) (-.f64 (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.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 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #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 c a)))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a))))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| 1× | egg-herbie |
| 6468× | *-lowering-*.f32 |
| 6468× | *-lowering-*.f64 |
| 3498× | +-lowering-+.f64 |
| 3498× | +-lowering-+.f32 |
| 1822× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 610 | 3728 |
| 1 | 2115 | 3618 |
| 2 | 7557 | 3606 |
| 0 | 8211 | 3606 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ 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))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4)))) |
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2))) |
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2))) |
(* -1 b) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1)) |
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 b) |
(+ (* -1 b) (/ (* a c) b)) |
(+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))) |
(+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b)))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c)))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) c))))) |
(* -1 b) |
(+ (* -1 b) (/ (* a c) b)) |
(+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) |
(+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))) |
(* 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))))))) |
(* 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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))))) |
(* -1 (* 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))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -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) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (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 (* 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)))))))) |
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)))))))) |
(* -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)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(pow b 2) |
(+ (* -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)))) |
| 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))) |
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(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
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(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
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(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
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(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
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(/.f64 b (neg.f64 a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (-.f64 (*.f64 c (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))) b) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
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(* -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))) |
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(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
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(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
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(*.f64 #s(literal -1/2 binary64) (+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
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(* b (- (/ (* a c) (pow b 2)) 1)) |
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(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1)) |
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(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)) |
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(* (sqrt (* a c)) (sqrt -1)) |
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(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(+ (* (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))))))))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))) (*.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.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 c a) (*.f64 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))))))) |
(*.f64 b (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 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)))))) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.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 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))))) |
(* -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 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 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)))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+.f64 b (*.f64 c (+.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(* (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
(* 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))))) |
(*.f64 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 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
(* 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 (/.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 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/16 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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 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 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))))) (neg.f64 c)) |
(* -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 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c 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) (*.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))))) (neg.f64 c)) |
(* -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 #s(literal 0 binary64) (*.f64 c (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c 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) (*.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 (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)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(+.f64 b (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))) |
(* (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)))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
(* 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))))) |
(*.f64 a (+.f64 (*.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)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
(* 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)))))) |
(*.f64 a (+.f64 (*.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)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.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 (* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (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 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.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 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)) |
(* -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)))))))) |
(*.f64 (+.f64 (*.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))) (+.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 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 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 7 binary64))) (pow.f64 c #s(literal 5 binary64))))))))) (neg.f64 a)) |
(* -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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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)) |
(* 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 c (*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) |
(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 a (*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) |
Compiled 21695 to 2253 computations (89.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 570 | 13 | 583 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 571 | 13 | 584 |
| Status | Accuracy | Program |
|---|---|---|
| 26.6% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a) | |
| ▶ | 20.0% | (/.f64 (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) a) |
| 30.2% | (/.f64 (/.f64 (+.f64 b (pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/4 binary64))) #s(literal -2 binary64)) a) | |
| ▶ | 46.7% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) |
| ▶ | 10.4% | (/.f64 (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) a) |
| 10.8% | (/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) | |
| 31.6% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) | |
| ▶ | 32.5% | (/.f64 b (neg.f64 a)) |
| 47.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) | |
| 32.3% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 39.5% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| ▶ | 47.1% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| 31.7% | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
Compiled 480 to 300 computations (37.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| ✓ | cost-diff | 0 | (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) |
| ✓ | cost-diff | 0 | (*.f64 c a) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) |
| ✓ | cost-diff | 256 | (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) a) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) b) |
| ✓ | cost-diff | 256 | (+.f64 b (-.f64 #s(literal 0 binary64) b)) |
| ✓ | cost-diff | 384 | (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) |
| ✓ | cost-diff | 512 | (/.f64 (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) a) |
| ✓ | cost-diff | -64 | (neg.f64 a) |
| ✓ | cost-diff | -64 | (/.f64 b (neg.f64 a)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| 3134× | *-lowering-*.f32 |
| 3134× | *-lowering-*.f64 |
| 1452× | times-frac |
| 1274× | fmsub-define |
| 1224× | fma-lowering-fma.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 298 |
| 1 | 86 | 290 |
| 2 | 200 | 257 |
| 3 | 469 | 257 |
| 4 | 864 | 257 |
| 5 | 1605 | 253 |
| 6 | 4700 | 251 |
| 0 | 8473 | 251 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))) |
(/ -1/2 a) |
-1/2 |
a |
(+ b (sqrt (+ (* b b) (* -4 (* c a))))) |
b |
(sqrt (+ (* b b) (* -4 (* c a)))) |
(+ (* b b) (* -4 (* c a))) |
(* b b) |
(* -4 (* c a)) |
-4 |
(* c a) |
c |
(/ b (neg a)) |
b |
(neg a) |
a |
(/ (/ (+ b (- 0 b)) -2) a) |
(/ (+ b (- 0 b)) -2) |
(+ b (- 0 b)) |
b |
(- 0 b) |
0 |
-2 |
a |
(/ (/ (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (- 0 b)) a) |
(/ (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (- 0 b)) |
(+ (* c a) (/ (* c (* c (* a a))) (* b b))) |
(* c a) |
c |
a |
(/ (* c (* c (* a a))) (* b b)) |
(* c (* c (* a a))) |
(* c (* a a)) |
(* a a) |
(* b b) |
b |
(- 0 b) |
0 |
(/ (/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))) -2) a) |
(/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))) -2) |
(+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))) |
b |
(/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a)))))) |
1 |
(sqrt (/ 1 (+ (* b b) (* -4 (* c a))))) |
(/ 1 (+ (* b b) (* -4 (* c a)))) |
(+ (* b b) (* -4 (* c a))) |
(* b b) |
(* -4 (* c a)) |
-4 |
(* c a) |
c |
a |
-2 |
| Outputs |
|---|
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
-1/2 |
#s(literal -1/2 binary64) |
a |
(+ b (sqrt (+ (* b b) (* -4 (* c a))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
b |
(sqrt (+ (* b b) (* -4 (* c a)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(+ (* b b) (* -4 (* c a))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(* b b) |
(*.f64 b b) |
(* -4 (* c a)) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
-4 |
#s(literal -4 binary64) |
(* c a) |
(*.f64 a c) |
c |
(/ b (neg a)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
b |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(/ (/ (+ b (- 0 b)) -2) a) |
#s(literal 0 binary64) |
(/ (+ b (- 0 b)) -2) |
#s(literal 0 binary64) |
(+ b (- 0 b)) |
#s(literal 0 binary64) |
b |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
0 |
#s(literal 0 binary64) |
-2 |
#s(literal -2 binary64) |
a |
(/ (/ (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (- 0 b)) a) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 b b))))) |
(/ (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (- 0 b)) |
(/.f64 (*.f64 (*.f64 a c) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))) b) |
(+ (* c a) (/ (* c (* c (* a a))) (* b b))) |
(*.f64 c (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 b b))))) |
(* c a) |
(*.f64 a c) |
c |
a |
(/ (* c (* c (* a a))) (* b b)) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)) |
(* c (* c (* a a))) |
(*.f64 a (*.f64 a (*.f64 c c))) |
(* c (* a a)) |
(*.f64 a (*.f64 a c)) |
(* a a) |
(*.f64 a a) |
(* b b) |
(*.f64 b b) |
b |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
0 |
#s(literal 0 binary64) |
(/ (/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))) -2) a) |
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (*.f64 a #s(literal -2 binary64))) |
(/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))) -2) |
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -2 binary64)) |
(+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))) |
(+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
b |
(/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
1 |
#s(literal 1 binary64) |
(sqrt (/ 1 (+ (* b b) (* -4 (* c a))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(/ 1 (+ (* b b) (* -4 (* c a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(+ (* b b) (* -4 (* c a))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(* b b) |
(*.f64 b b) |
(* -4 (* c a)) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
-4 |
#s(literal -4 binary64) |
(* c a) |
(*.f64 a c) |
c |
a |
-2 |
#s(literal -2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
| ✓ | accuracy | 94.1% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) |
| ✓ | accuracy | 76.0% | (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
| ✓ | accuracy | 63.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
| ✓ | accuracy | 92.4% | (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | accuracy | 88.2% | (/.f64 (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) a) |
| ✓ | accuracy | 85.0% | (*.f64 c (*.f64 a a)) |
| ✓ | accuracy | 75.8% | (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) a) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) b) |
| ✓ | accuracy | 100.0% | (+.f64 b (-.f64 #s(literal 0 binary64) b)) |
| ✓ | accuracy | 100.0% | (/.f64 b (neg.f64 a)) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 98.4% | (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
| ✓ | accuracy | 93.9% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| ✓ | accuracy | 76.0% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
| ✓ | accuracy | 62.5% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
| 75.0ms | 38× | 2 | valid |
| 58.0ms | 161× | 0 | valid |
| 39.0ms | 24× | 3 | valid |
| 26.0ms | 33× | 1 | valid |
Compiled 317 to 36 computations (88.6% saved)
ival-div: 32.0ms (28.2% of total)ival-neg: 26.0ms (22.9% of total)ival-mult: 21.0ms (18.5% of total)backward-pass: 12.0ms (10.6% of total)ival-add: 11.0ms (9.7% of total)ival-sqrt: 9.0ms (7.9% of total)ival-sub: 2.0ms (1.8% of total)const: 1.0ms (0.9% of total)| Inputs |
|---|
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))> |
#<alt (/ -1/2 a)> |
#<alt (+ b (sqrt (+ (* b b) (* -4 (* c a)))))> |
#<alt (sqrt (+ (* b b) (* -4 (* c a))))> |
#<alt (/ b (neg a))> |
#<alt (neg a)> |
#<alt (/ (/ (+ b (- 0 b)) -2) a)> |
#<alt (/ (+ b (- 0 b)) -2)> |
#<alt (+ b (- 0 b))> |
#<alt (- 0 b)> |
#<alt (/ (/ (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (- 0 b)) a)> |
#<alt (/ (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (- 0 b))> |
#<alt (+ (* c a) (/ (* c (* c (* a a))) (* b b)))> |
#<alt (* c a)> |
#<alt (/ (/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))) -2) a)> |
#<alt (/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))) -2)> |
#<alt (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a)))))))> |
#<alt (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))> |
#<alt (+ (* b b) (* -4 (* c a)))> |
#<alt (/ (* c (* c (* a a))) (* b b))> |
#<alt (* c (* a a))> |
#<alt (sqrt (/ 1 (+ (* b b) (* -4 (* c a)))))> |
| Outputs |
|---|
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 b)> |
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* 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 (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -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 (* -1 (/ (+ (* -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 (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (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 (* 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 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 (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))> |
#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))> |
#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))> |
#<alt (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))> |
#<alt (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))> |
#<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)))) b)> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) 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))) b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (* a c) b))> |
#<alt (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))> |
#<alt (* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3)))))> |
#<alt (* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3)))))> |
#<alt (* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3)))))> |
#<alt (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))> |
#<alt (* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3)))))> |
#<alt (* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3)))))> |
#<alt (* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3)))))> |
#<alt (* -1 (/ (* a c) b))> |
#<alt (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))> |
#<alt (* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))> |
#<alt (* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))> |
#<alt (/ (+ (* -1 (* a (* (pow b 2) c))) (* -1 (* (pow a 2) (pow c 2)))) (pow b 3))> |
#<alt (/ (+ (* -1 (* a (* (pow b 2) c))) (* -1 (* (pow a 2) (pow c 2)))) (pow b 3))> |
#<alt (/ (+ (* -1 (* a (* (pow b 2) c))) (* -1 (* (pow a 2) (pow c 2)))) (pow b 3))> |
#<alt (* -1 (/ (* a c) b))> |
#<alt (/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (* -1 (/ (* a c) b))> |
#<alt (* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))> |
#<alt (* a c)> |
#<alt (* c (+ a (/ (* (pow a 2) c) (pow b 2))))> |
#<alt (* c (+ a (/ (* (pow a 2) c) (pow b 2))))> |
#<alt (* c (+ a (/ (* (pow a 2) c) (pow b 2))))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))> |
#<alt (* a c)> |
#<alt (* a (+ c (/ (* a (pow c 2)) (pow b 2))))> |
#<alt (* a (+ c (/ (* a (pow c 2)) (pow b 2))))> |
#<alt (* a (+ c (/ (* a (pow c 2)) (pow b 2))))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))> |
#<alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))> |
#<alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))> |
#<alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))> |
#<alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2))> |
#<alt (/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2))> |
#<alt (/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2))> |
#<alt (* a c)> |
#<alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))> |
#<alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))> |
#<alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))> |
#<alt (* a c)> |
#<alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))> |
#<alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))> |
#<alt (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2)))> |
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2)))> |
#<alt (* -1 b)> |
#<alt (* b (- (/ (* a c) (pow b 2)) 1))> |
#<alt (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1))> |
#<alt (* -1 (/ (* a c) b))> |
#<alt (* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 b)> |
#<alt (+ (* -1 b) (/ (* a c) b))> |
#<alt (+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) c)))))> |
#<alt (* -1 b)> |
#<alt (+ (* -1 b) (/ (* a c) b))> |
#<alt (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))> |
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#<alt (* 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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))))> |
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))))> |
#<alt (* -1 (* 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)))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 b)> |
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* 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 (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
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#<alt (* -1 (/ (+ (* -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 (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ (* 2 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))> |
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#<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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
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#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (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 (* 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 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 (* -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 (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (pow b 2)> |
#<alt (+ (* -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 a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (pow a 2) c)> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))> |
#<alt (+ (* (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)))))))> |
#<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)> |
#<alt (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)> |
#<alt (/ (+ 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)> |
#<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)> |
#<alt (/ -1 b)> |
#<alt (* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))> |
#<alt (* -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))> |
#<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))> |
#<alt (/ 1 b)> |
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))> |
#<alt (+ (* 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))> |
#<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))> |
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))> |
#<alt (+ (* -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 (/ 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)))> |
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (+ (* -1/16 (* (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)))))> |
#<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 b)> |
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))> |
#<alt (+ (* 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))> |
#<alt (+ (* 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))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))> |
#<alt (+ (* -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 (/ 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)))> |
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (+ (* -1/16 (* (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)))))> |
#<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)))))> |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | c | @ | inf | (/ (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (- 0 b)) |
| 6.0ms | c | @ | inf | (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))) |
| 2.0ms | b | @ | inf | (/ b (neg a)) |
| 1.0ms | b | @ | 0 | (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))) |
| 1.0ms | a | @ | inf | (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))) |
| 1× | batch-egg-rewrite |
| 2496× | /-lowering-/.f32 |
| 2496× | /-lowering-/.f64 |
| 1952× | *-lowering-*.f32 |
| 1952× | *-lowering-*.f64 |
| 1808× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 200 |
| 1 | 227 | 187 |
| 2 | 2219 | 183 |
| 0 | 9121 | 183 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))) |
(/ -1/2 a) |
(+ b (sqrt (+ (* b b) (* -4 (* c a))))) |
(sqrt (+ (* b b) (* -4 (* c a)))) |
(/ b (neg a)) |
(neg a) |
(/ (/ (+ b (- 0 b)) -2) a) |
(/ (+ b (- 0 b)) -2) |
(+ b (- 0 b)) |
(- 0 b) |
(/ (/ (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (- 0 b)) a) |
(/ (+ (* c a) (/ (* c (* c (* a a))) (* b b))) (- 0 b)) |
(+ (* c a) (/ (* c (* c (* a a))) (* b b))) |
(* c a) |
(/ (/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))) -2) a) |
(/ (+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))) -2) |
(+ b (/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a))))))) |
(/ 1 (sqrt (/ 1 (+ (* b b) (* -4 (* c a)))))) |
(+ (* b b) (* -4 (* c a))) |
(/ (* c (* c (* a a))) (* b b)) |
(* c (* a a)) |
(sqrt (/ 1 (+ (* b b) (* -4 (* c a))))) |
| Outputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (neg.f64 (/.f64 a #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)))))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 1 binary64)) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 a (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
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(pow.f64 (/.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64)))) |
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(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal -1/2 binary64) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a)) |
(pow.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) |
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(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) |
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64) (neg.f64 (*.f64 b #s(literal -1 binary64)))) (fma.f64 b #s(literal -1 binary64) (*.f64 b #s(literal -1 binary64)))) |
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(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64) b) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) b) |
(fma.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)) b) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 (*.f64 b b) (/.f64 b (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
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(/.f64 (neg.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
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(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -1/2 binary64))) |
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(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
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(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #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 #s(literal -4 binary64) c)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -1 binary64)) |
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(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))))) |
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(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64))) |
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(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
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b |
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(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
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(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64)) |
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(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(*.f64 (pow.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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/4 binary64)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a c) (*.f64 a c)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b))) |
(neg.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 a c) (*.f64 a c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a c) (*.f64 a c)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a c) (*.f64 a c))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c b))))) |
(/.f64 (*.f64 (*.f64 a (*.f64 a c)) (neg.f64 c)) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c b)) b) |
(/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (neg.f64 c))) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c b))) b) |
(/.f64 (*.f64 (/.f64 c b) (*.f64 a (*.f64 a c))) b) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 1 binary64))) (*.f64 b b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (neg.f64 c)))) (*.f64 b b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c b)))) b) |
(/.f64 (neg.f64 (*.f64 (/.f64 c b) (*.f64 a (*.f64 a c)))) b) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c b))) #s(literal -1 binary64)) |
(*.f64 c (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b))) |
(*.f64 (*.f64 a (*.f64 a c)) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 a (*.f64 a c)) (/.f64 c (*.f64 b b))) |
(*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a c)) (neg.f64 c)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 c b) (*.f64 c (/.f64 (*.f64 a a) b))) |
(*.f64 (*.f64 c (/.f64 (*.f64 a a) b)) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (*.f64 a c) (*.f64 a c))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -1 binary64))) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 c c) (/.f64 (*.f64 a a) (*.f64 b b))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c b)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)) c) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 a (*.f64 a c)) (/.f64 c b))) |
(*.f64 (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 a (*.f64 a c)) |
(*.f64 c (*.f64 a a)) |
(*.f64 (*.f64 a c) a) |
(*.f64 (*.f64 a a) c) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1/2 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 -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(*.f64 (pow.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)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))))) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(*.f64 (sqrt.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))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 1× | egg-herbie |
| 9530× | *-lowering-*.f32 |
| 9530× | *-lowering-*.f64 |
| 4780× | +-lowering-+.f64 |
| 4780× | +-lowering-+.f32 |
| 1740× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 873 | 9908 |
| 1 | 3038 | 9715 |
| 0 | 9063 | 9715 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ 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))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -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) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (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 (* 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)))))))) |
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)))))))) |
(* -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) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (* a c) b)) |
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))) |
(* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3))))) |
(* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -1 (/ a (* b c))) (* -1 (/ (pow a 2) (pow b 3))))) |
(* -1 (/ (* a c) b)) |
(* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))) |
(* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(/ (+ (* -1 (* a (* (pow b 2) c))) (* -1 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -1 (* a (* (pow b 2) c))) (* -1 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -1 (* a (* (pow b 2) c))) (* -1 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(* -1 (/ (* a c) b)) |
(/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 (* a c)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b)) |
(* a c) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(* c (+ a (/ (* (pow a 2) c) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2)))) |
(* a c) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(* a (+ c (/ (* a (pow c 2)) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2)) |
(* a c) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* a c) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ 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))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4)))) |
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2))) |
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2))) |
(* -1 b) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1)) |
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 b) |
(+ (* -1 b) (/ (* a c) b)) |
(+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))) |
(+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b)))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c)))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) c))))) |
(* -1 b) |
(+ (* -1 b) (/ (* a c) b)) |
(+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) |
(+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))) |
(* 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))))))) |
(* 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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))))) |
(* -1 (* 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))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -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) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (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 (* 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)))))))) |
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)))))))) |
(* -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)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(pow b 2) |
(+ (* -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 a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (pow a 2) c) |
(* (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)) |
(+ (* 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 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))))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.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))))))) b) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 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)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.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 -1/128 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -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 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 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 -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) #s(literal 1/16 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (+.f64 (+.f64 c (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (+.f64 c (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))))) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))))) (/.f64 b a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (*.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))))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) c)) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.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)))))))) c)) c)) (-.f64 #s(literal 0 binary64) c)) |
(/ -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) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 1/2 binary64)))))) |
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c))))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))))))) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))))) |
(* 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))))))) |
(*.f64 b (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) #s(literal 2 binary64)))) |
(* 2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
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b |
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b |
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b |
(+ b (* -2 (/ (* a c) b))) |
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(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* -1 (/ b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
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(-.f64 #s(literal 0 binary64) a) |
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(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
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0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
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#s(literal 0 binary64) |
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#s(literal 0 binary64) |
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#s(literal 0 binary64) |
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#s(literal 0 binary64) |
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#s(literal 0 binary64) |
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(-.f64 #s(literal 0 binary64) b) |
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(-.f64 #s(literal 0 binary64) b) |
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(-.f64 #s(literal 0 binary64) b) |
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(-.f64 #s(literal 0 binary64) b) |
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(-.f64 #s(literal 0 binary64) b) |
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(-.f64 #s(literal 0 binary64) b) |
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(-.f64 #s(literal 0 binary64) b) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
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(-.f64 #s(literal 0 binary64) (/.f64 c 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 (- (* -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 (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
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(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (neg.f64 (*.f64 b (*.f64 b b)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(*.f64 (*.f64 c c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(*.f64 (*.f64 c c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(*.f64 (*.f64 c c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b c)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
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(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(*.f64 (*.f64 c c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(*.f64 (*.f64 c c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) (*.f64 b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
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(* -1 (/ (* a (pow c 2)) (pow b 3))) |
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(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(*.f64 a (-.f64 (/.f64 (/.f64 c a) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(*.f64 a (-.f64 (/.f64 (/.f64 c a) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
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(* -1 (/ (* a (pow c 2)) (pow b 3))) |
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(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(*.f64 a (-.f64 (/.f64 (/.f64 c a) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(*.f64 a (-.f64 (/.f64 (/.f64 c a) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
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(* -1 (/ (* a (pow c 2)) (pow b 3))) |
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(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
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(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b c))) (*.f64 b (*.f64 b b))) |
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(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(* -1 (/ (* a c) b)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) |
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 a b) (*.f64 a (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))))) |
(* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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b |
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(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b 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) |
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b |
(+ b (* -2 (/ (* a c) b))) |
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(* (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))))) |
(*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/16 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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) c)) |
(* -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 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.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 0 binary64) c)) |
(* -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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1/4 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1/512 binary64)))))) (-.f64 #s(literal 0 binary64) c)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f64 b (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(+.f64 b (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) b) (*.f64 a (+.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
(* 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))))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64)))))) |
(* 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)))))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* 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 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) 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 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))) (-.f64 #s(literal 0 binary64) a)) |
(* -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)))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.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) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 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 c (*.f64 a #s(literal -4 binary64))) |
(* -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 a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
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(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1/4 binary64))) #s(literal -1/32 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))) |
(+ (* -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))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1/4 binary64))) #s(literal -1/32 binary64))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (*.f64 c (*.f64 c c)))) (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/2 binary64))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64)))) |
(+ (* -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))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))) |
(+ (* -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))))) |
(-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 a (pow.f64 b #s(literal 4 binary64)))) (*.f64 c (*.f64 c c)))))) (*.f64 a (*.f64 a a)))) |
Compiled 47021 to 4559 computations (90.3% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1819 | 21 | 1840 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1826 | 27 | 1853 |
| Status | Accuracy | Program |
|---|---|---|
| 2.7% | (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) | |
| 24.1% | (/.f64 (/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -2 binary64)) a) | |
| 22.2% | (/.f64 (/.f64 (/.f64 (*.f64 b (+.f64 b b)) b) #s(literal -2 binary64)) a) | |
| ▶ | 47.2% | (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
| 30.6% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -2 binary64)) a) | |
| 10.3% | (/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) #s(literal -2 binary64)) a) | |
| 31.6% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) | |
| 29.6% | (/.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) a) | |
| 30.3% | (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) | |
| 8.7% | (/.f64 (*.f64 c (+.f64 a (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)))) (*.f64 a b)) | |
| 2.5% | (/.f64 (*.f64 b b) (*.f64 a b)) | |
| 15.5% | (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) | |
| ✓ | 32.5% | (/.f64 b (neg.f64 a)) |
| 2.7% | (/.f64 b a) | |
| 47.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) | |
| ▶ | 2.7% | (/.f64 #s(literal 1 binary64) (/.f64 a b)) |
| 32.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) a)) | |
| 32.4% | (/.f64 #s(literal -1 binary64) (/.f64 a b)) | |
| 32.3% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 39.5% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| 13.4% | (+.f64 (/.f64 (/.f64 (+.f64 b b) #s(literal -2 binary64)) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))) | |
| ✓ | 47.1% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| ▶ | 31.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| 32.4% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) | |
| 2.7% | (*.f64 b (/.f64 #s(literal 1 binary64) a)) | |
| ▶ | 31.7% | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
| ▶ | 10.4% | #s(literal 0 binary64) |
Compiled 730 to 486 computations (33.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (/.f64 c (*.f64 b b)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | cost-diff | 256 | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
| ✓ | cost-diff | 0 | (/.f64 a b) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 a b)) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
| 2586× | *-lowering-*.f32 |
| 2586× | *-lowering-*.f64 |
| 1686× | fma-lowering-fma.f32 |
| 1686× | fma-lowering-fma.f64 |
| 1592× | /-lowering-/.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 179 |
| 1 | 67 | 179 |
| 2 | 121 | 178 |
| 3 | 151 | 176 |
| 4 | 281 | 174 |
| 5 | 412 | 173 |
| 6 | 711 | 173 |
| 7 | 1915 | 173 |
| 8 | 3522 | 173 |
| 9 | 6125 | 173 |
| 0 | 8046 | 173 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) -2) a) |
(/ (+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) -2) |
(+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) |
b |
(pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2) |
(/ 1 (+ (* b b) (* a (* -4 c)))) |
1 |
(+ (* b b) (* a (* -4 c))) |
(* b b) |
(* a (* -4 c)) |
a |
(* -4 c) |
-4 |
c |
-1/2 |
-2 |
0 |
(/ 1 (/ a b)) |
1 |
(/ a b) |
a |
b |
(* b (+ (/ c (* b b)) (/ -1 a))) |
b |
(+ (/ c (* b b)) (/ -1 a)) |
(/ c (* b b)) |
c |
(* b b) |
(/ -1 a) |
-1 |
a |
(* (/ -1/2 a) (+ b (sqrt (* c (* a -4))))) |
(/ -1/2 a) |
-1/2 |
a |
(+ b (sqrt (* c (* a -4)))) |
b |
(sqrt (* c (* a -4))) |
(* c (* a -4)) |
c |
(* a -4) |
-4 |
| Outputs |
|---|
(/ (/ (+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) -2) a) |
(/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) (*.f64 a #s(literal -2 binary64))) |
(/ (+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) -2) |
(/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) #s(literal -2 binary64)) |
(+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) |
(+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) |
b |
(pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) |
(/ 1 (+ (* b b) (* a (* -4 c)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
1 |
#s(literal 1 binary64) |
(+ (* b b) (* a (* -4 c))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(* b b) |
(*.f64 b b) |
(* a (* -4 c)) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
a |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
-4 |
#s(literal -4 binary64) |
c |
-1/2 |
#s(literal -1/2 binary64) |
-2 |
#s(literal -2 binary64) |
0 |
#s(literal 0 binary64) |
(/ 1 (/ a b)) |
(/.f64 b a) |
1 |
#s(literal 1 binary64) |
(/ a b) |
(/.f64 a b) |
a |
b |
(* b (+ (/ c (* b b)) (/ -1 a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
b |
(+ (/ c (* b b)) (/ -1 a)) |
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
(/ c (* b b)) |
(/.f64 c (*.f64 b b)) |
c |
(* b b) |
(*.f64 b b) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
-1 |
#s(literal -1 binary64) |
a |
(* (/ -1/2 a) (+ b (sqrt (* c (* a -4))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
-1/2 |
#s(literal -1/2 binary64) |
a |
(+ b (sqrt (* c (* a -4)))) |
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
b |
(sqrt (* c (* a -4))) |
(sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(* c (* a -4)) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal -4 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 84.0% | (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | accuracy | 95.0% | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
| ✓ | accuracy | 92.7% | (/.f64 c (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (/.f64 a b) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 a b)) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
| ✓ | accuracy | 95.6% | (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
| ✓ | accuracy | 90.2% | (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 80.3% | (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) |
| 43.0ms | 125× | 0 | valid |
| 38.0ms | 13× | 3 | valid |
| 29.0ms | 15× | 2 | valid |
| 28.0ms | 86× | 0 | invalid |
| 12.0ms | 17× | 1 | valid |
Compiled 195 to 31 computations (84.1% saved)
ival-mult: 30.0ms (34.5% of total)ival-pow: 23.0ms (26.4% of total)ival-div: 19.0ms (21.8% of total)ival-add: 7.0ms (8% of total)backward-pass: 4.0ms (4.6% of total)ival-sqrt: 3.0ms (3.4% of total)const: 1.0ms (1.1% of total)| Inputs |
|---|
#<alt (/ (/ (+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) -2) a)> |
#<alt (/ (+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) -2)> |
#<alt (+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2))> |
#<alt (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)> |
#<alt (/ 1 (/ a b))> |
#<alt (/ a b)> |
#<alt (* b (+ (/ c (* b b)) (/ -1 a)))> |
#<alt (+ (/ c (* b b)) (/ -1 a))> |
#<alt (/ c (* b b))> |
#<alt (* b b)> |
#<alt (* (/ -1/2 a) (+ b (sqrt (* c (* a -4)))))> |
#<alt (/ -1/2 a)> |
#<alt (+ b (sqrt (* c (* a -4))))> |
#<alt (sqrt (* c (* a -4)))> |
#<alt (/ 1 (+ (* b b) (* a (* -4 c))))> |
#<alt (* a -4)> |
| Outputs |
|---|
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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))))))> |
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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 (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (/ -1/2 a)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt b> |
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))> |
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))> |
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))> |
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))> |
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (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 (* (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 (/ -1/4 (* 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 (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/ 1 (+ (* b b) (* a (* -4 c)))) |
| 2.0ms | c | @ | -inf | (/ (/ (+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) -2) a) |
| 1.0ms | a | @ | 0 | (* (/ -1/2 a) (+ b (sqrt (* c (* a -4))))) |
| 1.0ms | c | @ | 0 | (* (/ -1/2 a) (+ b (sqrt (* c (* a -4))))) |
| 1.0ms | a | @ | -inf | (* (/ -1/2 a) (+ b (sqrt (* c (* a -4))))) |
| 1× | batch-egg-rewrite |
| 2944× | *-lowering-*.f32 |
| 2944× | *-lowering-*.f64 |
| 2854× | /-lowering-/.f32 |
| 2854× | /-lowering-/.f64 |
| 1822× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 132 |
| 1 | 181 | 125 |
| 2 | 1704 | 119 |
| 0 | 8403 | 119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) -2) a) |
(/ (+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) -2) |
(+ b (pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2)) |
(pow (/ 1 (+ (* b b) (* a (* -4 c)))) -1/2) |
(/ 1 (/ a b)) |
(/ a b) |
(* b (+ (/ c (* b b)) (/ -1 a))) |
(+ (/ c (* b b)) (/ -1 a)) |
(/ c (* b b)) |
(* b b) |
(* (/ -1/2 a) (+ b (sqrt (* c (* a -4))))) |
(/ -1/2 a) |
(+ b (sqrt (* c (* a -4)))) |
(sqrt (* c (* a -4))) |
(/ 1 (+ (* b b) (* a (* -4 c)))) |
(* a -4) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)) a)) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (neg.f64 (/.f64 a #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)))))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 1 binary64)) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) a)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 a (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))) |
(neg.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
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(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(*.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) c))) (sqrt.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b 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 #s(literal -4 binary64) c)))) #s(literal -1 binary64))) |
(sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64)))) |
(pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(*.f64 a #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) a) |
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 7232× | *-lowering-*.f32 |
| 7232× | *-lowering-*.f64 |
| 4040× | +-lowering-+.f64 |
| 4040× | +-lowering-+.f32 |
| 1842× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 797 | 6215 |
| 1 | 2750 | 6031 |
| 0 | 8403 | 6031 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ 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))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4)))) |
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2))) |
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2))) |
(* -1 b) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1)) |
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 b) |
(+ (* -1 b) (/ (* a c) b)) |
(+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) |
(+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))) |
(* 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))))))) |
(* 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)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))))) |
(* -1 (* 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 b) |
(+ (* -1 b) (/ (* a c) b)) |
(+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))) |
(+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b)))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c)))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -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) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) 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)))))))) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ c (pow b 2)) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(/ c (pow b 2)) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(/ c (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ -1 a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ c (pow b 2)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ c (pow b 2)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 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)) |
(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) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(* -1/2 (/ b a)) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
b |
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))) |
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))) |
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))) |
b |
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))) |
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))) |
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (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))) |
(* (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))) |
(/ -1/4 (* 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)) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
| Outputs |
|---|
(* -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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 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 -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (+.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (+.f64 (+.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
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(* (sqrt (* a c)) (sqrt -1)) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
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(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c)))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 c (*.f64 a a)))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) |
(- (* (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)))) |
(+.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 c (*.f64 a (*.f64 c c)))))) (/.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c (*.f64 a a)))))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) |
(- (* (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)))) |
(+.f64 (*.f64 b (*.f64 b (+.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 b b)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 #s(literal -1/64 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 a (*.f64 c c)))))))) (/.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c (*.f64 a a))))))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal 4 binary64)))) (*.f64 b b)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal 4 binary64))))) (*.f64 b b)) |
(/ (- (+ 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)) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal -16 binary64) (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal 4 binary64)))) (*.f64 b b)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal 4 binary64))))) (*.f64 b b)) |
(/ (- (+ 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)) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal -16 binary64) (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) |
(/ 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 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (pow.f64 b #s(literal 4 binary64)))) |
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))))) |
(+ (* 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 8 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 c (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) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 a (*.f64 c c))) (/.f64 #s(literal -1/4 binary64) 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) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))) (+.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 a (*.f64 c (*.f64 a (*.f64 c c)))))))) 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 c (*.f64 a (*.f64 c c)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.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) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (*.f64 c 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 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (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 (*.f64 a #s(literal -4 binary64)) (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 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b #s(literal 8 binary64))) #s(literal 64 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 c c)) (*.f64 a a))) (+.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 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 c (*.f64 c c)))) (+.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 c c)) (*.f64 a a)))))) 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)))) (neg.f64 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) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (*.f64 c (*.f64 a a)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (neg.f64 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 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a (*.f64 a a))))) (neg.f64 c)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (neg.f64 c)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
Compiled 20910 to 2771 computations (86.7% saved)
38 alts after pruning (33 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 996 | 18 | 1014 |
| Fresh | 5 | 15 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1003 | 38 | 1041 |
| Status | Accuracy | Program |
|---|---|---|
| 18.3% | (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 c)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) | |
| 19.4% | (fma.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) | |
| 22.2% | (/.f64 (/.f64 (/.f64 (*.f64 b (+.f64 b b)) b) #s(literal -2 binary64)) a) | |
| 30.3% | (/.f64 (/.f64 (+.f64 b (pow.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) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) | |
| 31.7% | (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) | |
| ▶ | 30.6% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -2 binary64)) a) |
| 10.3% | (/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) #s(literal -2 binary64)) a) | |
| 31.6% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) | |
| 29.6% | (/.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) a) | |
| ▶ | 2.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| 19.2% | (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) | |
| 8.7% | (/.f64 (*.f64 c (+.f64 a (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)))) (*.f64 a b)) | |
| 2.5% | (/.f64 (*.f64 b b) (*.f64 a b)) | |
| 10.0% | (/.f64 c b) | |
| 15.5% | (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) | |
| ✓ | 32.5% | (/.f64 b (neg.f64 a)) |
| ▶ | 2.7% | (/.f64 b a) |
| ▶ | 47.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
| 31.6% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) | |
| ✓ | 2.7% | (/.f64 #s(literal 1 binary64) (/.f64 a b)) |
| 2.7% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))) | |
| 32.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) a)) | |
| 32.4% | (/.f64 #s(literal -1 binary64) (/.f64 a b)) | |
| 32.3% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 39.5% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| 13.4% | (+.f64 (/.f64 (/.f64 (+.f64 b b) #s(literal -2 binary64)) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))) | |
| 17.1% | (*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (/.f64 b a)) | |
| 2.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) b) | |
| 30.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) | |
| 19.4% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)))) | |
| 18.2% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64)) (sqrt.f64 a)))) | |
| ✓ | 47.1% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| ✓ | 31.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| 10.7% | (*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a))) | |
| 10.0% | (*.f64 b (/.f64 c (*.f64 b b))) | |
| 32.2% | (*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a))) | |
| ▶ | 16.8% | (*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
| ✓ | 10.4% | #s(literal 0 binary64) |
Compiled 1073 to 715 computations (33.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 128 | (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -2 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -2 binary64)) a) |
| ✓ | cost-diff | 0 | (*.f64 a c) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 a c) (*.f64 b b)) |
| ✓ | cost-diff | 384 | (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a)))) |
| ✓ | cost-diff | 640 | (*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
| ✓ | cost-diff | 0 | (/.f64 a #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
| 2476× | *-lowering-*.f32 |
| 2476× | *-lowering-*.f64 |
| 1848× | /-lowering-/.f32 |
| 1848× | /-lowering-/.f64 |
| 1118× | neg-lowering-neg.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 219 |
| 1 | 86 | 217 |
| 2 | 197 | 210 |
| 3 | 622 | 204 |
| 4 | 2136 | 199 |
| 5 | 4911 | 199 |
| 0 | 8142 | 199 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (/ a -1/2) (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) |
1 |
(/ (/ a -1/2) (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
(/ a -1/2) |
a |
-1/2 |
(+ b (sqrt (+ (* b b) (* a (* -4 c))))) |
b |
(sqrt (+ (* b b) (* a (* -4 c)))) |
(+ (* b b) (* a (* -4 c))) |
(* b b) |
(* a (* -4 c)) |
(* -4 c) |
-4 |
c |
(/ b a) |
b |
a |
(/ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
1 |
a |
(/ 1 b) |
b |
(* b (* (- (* a c) (* b b)) (/ 1 (* b (* b a))))) |
b |
(* (- (* a c) (* b b)) (/ 1 (* b (* b a)))) |
(- (* a c) (* b b)) |
(* a c) |
a |
c |
(* b b) |
(/ 1 (* b (* b a))) |
1 |
(* b (* b a)) |
(* b a) |
(/ (/ (+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) -2) a) |
(/ (+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) -2) |
(+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) |
b |
(/ 1 (sqrt (/ 1 (* c (* a -4))))) |
1 |
(sqrt (/ 1 (* c (* a -4)))) |
(/ 1 (* c (* a -4))) |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
-2 |
| Outputs |
|---|
(/ 1 (/ (/ a -1/2) (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (/ a -1/2) (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
(/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/ a -1/2) |
(/.f64 a #s(literal -1/2 binary64)) |
a |
-1/2 |
#s(literal -1/2 binary64) |
(+ b (sqrt (+ (* b b) (* a (* -4 c))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
b |
(sqrt (+ (* b b) (* a (* -4 c)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(+ (* b b) (* a (* -4 c))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(* b b) |
(*.f64 b b) |
(* a (* -4 c)) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
-4 |
#s(literal -4 binary64) |
c |
(/ b a) |
(/.f64 b a) |
b |
a |
(/ (/ 1 a) (/ 1 b)) |
(/.f64 b a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
a |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
b |
(* b (* (- (* a c) (* b b)) (/ 1 (* b (* b a))))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
b |
(* (- (* a c) (* b b)) (/ 1 (* b (* b a)))) |
(+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a)) |
(- (* a c) (* b b)) |
(-.f64 (*.f64 a c) (*.f64 b b)) |
(* a c) |
(*.f64 a c) |
a |
c |
(* b b) |
(*.f64 b b) |
(/ 1 (* b (* b a))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) b) |
1 |
#s(literal 1 binary64) |
(* b (* b a)) |
(*.f64 a (*.f64 b b)) |
(* b a) |
(*.f64 a b) |
(/ (/ (+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) -2) a) |
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64))) |
(/ (+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) -2) |
(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) #s(literal -2 binary64)) |
(+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) |
(+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) |
b |
(/ 1 (sqrt (/ 1 (* c (* a -4))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)))) |
1 |
#s(literal 1 binary64) |
(sqrt (/ 1 (* c (* a -4)))) |
(sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))) |
(/ 1 (* c (* a -4))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 a c)) |
(* c (* a -4)) |
(*.f64 a (*.f64 #s(literal -4 binary64) c)) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
-2 |
#s(literal -2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -2 binary64)) a) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 84.9% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b a)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))) |
| ✓ | accuracy | 95.0% | (*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
| ✓ | accuracy | 73.5% | (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) b) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) a) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
| ✓ | accuracy | 95.8% | (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
| ✓ | accuracy | 90.2% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
| ✓ | accuracy | 79.4% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
| 49.0ms | 86× | 0 | invalid |
| 47.0ms | 125× | 0 | valid |
| 28.0ms | 25× | 2 | valid |
| 12.0ms | 17× | 1 | valid |
| 4.0ms | 3× | 3 | valid |
Compiled 255 to 36 computations (85.9% saved)
ival-div: 27.0ms (39.6% of total)ival-mult: 24.0ms (35.2% of total)ival-add: 5.0ms (7.3% of total)ival-sqrt: 5.0ms (7.3% of total)backward-pass: 4.0ms (5.9% of total)ival-sub: 2.0ms (2.9% of total)const: 1.0ms (1.5% of total)| Inputs |
|---|
#<alt (/ 1 (/ (/ a -1/2) (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))> |
#<alt (/ (/ a -1/2) (+ b (sqrt (+ (* b b) (* a (* -4 c))))))> |
#<alt (/ a -1/2)> |
#<alt (+ b (sqrt (+ (* b b) (* a (* -4 c)))))> |
#<alt (/ b a)> |
#<alt (/ (/ 1 a) (/ 1 b))> |
#<alt (/ 1 a)> |
#<alt (/ 1 b)> |
#<alt (* b (* (- (* a c) (* b b)) (/ 1 (* b (* b a)))))> |
#<alt (* (- (* a c) (* b b)) (/ 1 (* b (* b a))))> |
#<alt (- (* a c) (* b b))> |
#<alt (* a c)> |
#<alt (/ (/ (+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) -2) a)> |
#<alt (/ (+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) -2)> |
#<alt (+ b (/ 1 (sqrt (/ 1 (* c (* a -4))))))> |
#<alt (/ 1 (sqrt (/ 1 (* c (* a -4)))))> |
#<alt (sqrt (+ (* b b) (* a (* -4 c))))> |
#<alt (/ 1 (* b (* b a)))> |
#<alt (* b (* b a))> |
#<alt (sqrt (/ 1 (* c (* a -4))))> |
#<alt (/ 1 (* c (* a -4)))> |
| Outputs |
|---|
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1 (/ a b))> |
#<alt (* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b)))> |
#<alt (* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))))))) (/ 1 b)))> |
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ a c)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (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 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/4 (* (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)) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* 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))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 2 (+ (* -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)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))> |
#<alt (* -1 (/ a b))> |
#<alt (/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b)> |
#<alt (* -1 (/ b c))> |
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -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))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c))))))> |
#<alt (* -1 (/ a b))> |
#<alt (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))> |
#<alt (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))> |
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)> |
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#<alt b> |
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))))> |
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))))> |
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))) 1)))> |
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))) 1)))> |
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))) 1)))> |
#<alt (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))> |
#<alt (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))> |
#<alt (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))> |
#<alt (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* c (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1/4))) (/ b c)))> |
#<alt (* c (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1/4))) (/ b c)))> |
#<alt (* c (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1/4))) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))> |
#<alt (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))> |
#<alt (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))> |
#<alt (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* a (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1/4))) (/ b a)))> |
#<alt (* a (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1/4))) (/ b a)))> |
#<alt (* a (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1/4))) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<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)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))> |
#<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 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (/ 1 (* a (pow b 2)))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* a (pow b 2))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ -1/4 (* a c))> |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | b | @ | -inf | (/ (/ (+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) -2) a) |
| 11.0ms | a | @ | inf | (/ (/ (+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) -2) a) |
| 1.0ms | c | @ | inf | (/ (/ a -1/2) (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
| 1.0ms | a | @ | inf | (/ (/ a -1/2) (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
| 1.0ms | c | @ | -inf | (/ (/ a -1/2) (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
| 1× | batch-egg-rewrite |
| 3524× | *-lowering-*.f32 |
| 3524× | *-lowering-*.f64 |
| 3308× | /-lowering-/.f32 |
| 3308× | /-lowering-/.f64 |
| 1630× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 163 |
| 1 | 218 | 157 |
| 2 | 1698 | 152 |
| 0 | 8508 | 152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (/ a -1/2) (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) |
(/ (/ a -1/2) (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
(/ a -1/2) |
(+ b (sqrt (+ (* b b) (* a (* -4 c))))) |
(/ b a) |
(/ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(/ 1 b) |
(* b (* (- (* a c) (* b b)) (/ 1 (* b (* b a))))) |
(* (- (* a c) (* b b)) (/ 1 (* b (* b a)))) |
(- (* a c) (* b b)) |
(* a c) |
(/ (/ (+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) -2) a) |
(/ (+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) -2) |
(+ b (/ 1 (sqrt (/ 1 (* c (* a -4)))))) |
(/ 1 (sqrt (/ 1 (* c (* a -4))))) |
(sqrt (+ (* b b) (* a (* -4 c)))) |
(/ 1 (* b (* b a))) |
(* b (* b a)) |
(sqrt (/ 1 (* c (* a -4)))) |
(/ 1 (* c (* a -4))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b)) |
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 #s(literal -1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
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(*.f64 (pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -4 binary64)))) (pow.f64 c #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1/4 binary64))) |
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -4 binary64) c)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) c)))) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (*.f64 #s(literal -4 binary64) c))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 a #s(literal -4 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) c)) (neg.f64 (*.f64 a #s(literal -4 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -4 binary64))) c) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -4 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) a) #s(literal -4 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -4 binary64)) a) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) c))) (neg.f64 (neg.f64 (*.f64 a #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -4 binary64)))) (neg.f64 c)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) a)) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) a)) |
(pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -2 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal 16 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) c)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a c))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) c) a)) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -4 binary64))) |
(*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal -4 binary64)) (/.f64 (pow.f64 a #s(literal -1/2 binary64)) c)) |
(*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) c) (/.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal -4 binary64))) |
| 1× | egg-herbie |
| 9164× | *-lowering-*.f32 |
| 9164× | *-lowering-*.f64 |
| 4566× | +-lowering-+.f64 |
| 4566× | +-lowering-+.f32 |
| 1600× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 851 | 7000 |
| 1 | 2965 | 6797 |
| 0 | 9022 | 6797 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ 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))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ a b)) |
(* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b))) |
(* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))))))) (/ 1 b))) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ a c)) (sqrt -1)) |
(+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (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 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/4 (* (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)) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* 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))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 2 (+ (* -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)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(* -1 (/ a b)) |
(/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b) |
(* -1 (/ b c)) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c))))) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -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))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c)))))) |
(* -1 (/ a b)) |
(+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))) |
(+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7))))))))))) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -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))))) c) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 2 (/ (+ (* -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)))))) c) |
(* (sqrt (/ a c)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -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)) (* -1/2 (* b c))) c))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* 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))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 2 (+ (* -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)) (* -1/2 (* b c))) c))) c)) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -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) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
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(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
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(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
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(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
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(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ 1 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) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 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 (/ 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)))) |
(/ -1 a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ c (pow b 2)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ c (pow b 2)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ c (pow b 2)) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(/ c (pow b 2)) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(/ c (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(* -1 (pow b 2)) |
(- (* a c) (pow b 2)) |
(- (* a c) (pow b 2)) |
(- (* a c) (pow b 2)) |
(* a c) |
(* a (+ c (* -1 (/ (pow b 2) a)))) |
(* a (+ c (* -1 (/ (pow b 2) a)))) |
(* a (+ c (* -1 (/ (pow b 2) a)))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (/ (pow b 2) a)))) |
(* -1 (* a (+ (* -1 c) (/ (pow b 2) a)))) |
(* -1 (* a (+ (* -1 c) (/ (pow b 2) a)))) |
(* -1 (pow b 2)) |
(- (* a c) (pow b 2)) |
(- (* a c) (pow b 2)) |
(- (* a c) (pow b 2)) |
(* a c) |
(* c (+ a (* -1 (/ (pow b 2) c)))) |
(* c (+ a (* -1 (/ (pow b 2) c)))) |
(* c (+ a (* -1 (/ (pow b 2) c)))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (/ (pow b 2) c)))) |
(* -1 (* c (+ (* -1 a) (/ (pow b 2) c)))) |
(* -1 (* c (+ (* -1 a) (/ (pow b 2) c)))) |
(* a c) |
(+ (* -1 (pow b 2)) (* a c)) |
(+ (* -1 (pow b 2)) (* a c)) |
(+ (* -1 (pow b 2)) (* a c)) |
(* -1 (pow b 2)) |
(* (pow b 2) (- (/ (* a c) (pow b 2)) 1)) |
(* (pow b 2) (- (/ (* a c) (pow b 2)) 1)) |
(* (pow b 2) (- (/ (* a c) (pow b 2)) 1)) |
(* -1 (pow b 2)) |
(* (pow b 2) (- (/ (* a c) (pow b 2)) 1)) |
(* (pow b 2) (- (/ (* a c) (pow b 2)) 1)) |
(* (pow b 2) (- (/ (* a c) (pow b 2)) 1)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b a))) |
(* -1/2 (/ b a)) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ 1 (* b (sqrt -1/4))))) (* 1/2 (/ 1 a)))) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ 1 (* b (sqrt -1/4))))) (* 1/2 (/ 1 a)))) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ 1 (* b (sqrt -1/4))))) (* 1/2 (/ 1 a)))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ 1 (* b (sqrt -1/4))))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ 1 (* b (sqrt -1/4))))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ 1 (* b (sqrt -1/4))))) (* 1/2 (/ 1 a))))) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) a)) |
(* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b (* a c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) a)) |
(* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))) |
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))) |
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))) |
(* -1/2 b) |
(* b (- (* -1/2 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))) 1/2)) |
(* b (- (* -1/2 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))) 1/2)) |
(* b (- (* -1/2 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))) 1/2)) |
(* -1/2 b) |
(* -1 (* b (+ 1/2 (* 1/2 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4)))))))) |
(* -1 (* b (+ 1/2 (* 1/2 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4)))))))) |
(* -1 (* b (+ 1/2 (* 1/2 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4)))))))) |
(* -1/2 (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))) |
(* -1/2 (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))) |
(* -1/2 (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))) |
(* -1/2 (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))) |
(* -1/2 (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b c)))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b c)))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b c)))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))))) |
(* -1/2 (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))) |
(* -1/2 (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))) |
(* -1/2 (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))) |
(* -1/2 (+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4))))) |
(* -1/2 (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(* a (+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b a)))) |
(* a (+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b a)))) |
(* a (+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -1/4)))) (* -1/2 (/ b a)))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
b |
(* b (+ 1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4)))))) |
(* b (+ 1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4)))))) |
(* b (+ 1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4)))))) |
b |
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))) 1))) |
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))) 1))) |
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ 1 (* b (sqrt -1/4))))) 1))) |
(+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* c (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1/4))) (/ b c))) |
(* c (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1/4))) (/ b c))) |
(* c (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1/4))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(+ b (* (sqrt (* a c)) (/ 1 (sqrt -1/4)))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* a (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1/4))) (/ b a))) |
(* a (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1/4))) (/ b a))) |
(* a (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1/4))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* -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)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* (sqrt (* a c)) (/ 1 (sqrt -1/4))) |
(* -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)) |
(+ (* 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 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(/ 1 (* a (pow b 2))) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
(/ -1/4 (* a c)) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.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 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.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)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -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 a (*.f64 a (*.f64 a c))))) (*.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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 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 -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (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 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ b a)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (+.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ b a)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 a c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))))) (/.f64 b a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 c (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 binary64)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) c)) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) #s(literal -1/8 binary64))) (*.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)))))))) c)) c)) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (/ a b)) |
(-.f64 #s(literal 0 binary64) (/.f64 a b)) |
(* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a c)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))) |
(* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b))) |
(*.f64 a (+.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))))))) (/ 1 b))) |
(*.f64 a (+.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 7 binary64))) (*.f64 #s(literal -5/2 binary64) a))))) (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) |
(+.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 a a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
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b |
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(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 a c)) (*.f64 b (sqrt.f64 #s(literal -1/4 binary64)))))) |
b |
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b |
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(* 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)))))) |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
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(/.f64 #s(literal -1/4 binary64) (*.f64 a c)) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 a c)) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 a c)) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 a c)) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 a c)) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 a c)) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 a c)) |
Compiled 37414 to 4621 computations (87.6% saved)
48 alts after pruning (40 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1619 | 19 | 1638 |
| Fresh | 7 | 21 | 28 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1628 | 48 | 1676 |
| Status | Accuracy | Program |
|---|---|---|
| 18.3% | (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 c)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) | |
| 30.6% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) #s(literal -2 binary64)) a) | |
| 22.2% | (/.f64 (/.f64 (/.f64 (*.f64 b (+.f64 b b)) b) #s(literal -2 binary64)) a) | |
| 31.6% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b) #s(literal -2 binary64)) a) | |
| 32.6% | (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) | |
| 31.7% | (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) | |
| 19.4% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal -1/2 binary64)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) a) | |
| 18.3% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) c) #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64))))) #s(literal -2 binary64)) a) | |
| 30.6% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) #s(literal -2 binary64)) a) | |
| 19.5% | (/.f64 (/.f64 (+.f64 b (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c))) #s(literal -2 binary64)) a) | |
| 10.3% | (/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) #s(literal -2 binary64)) a) | |
| 18.3% | (/.f64 (/.f64 (+.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))) #s(literal -2 binary64)) a) | |
| 29.6% | (/.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) a) | |
| ✓ | 2.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| 31.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) | |
| 19.2% | (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) | |
| 8.7% | (/.f64 (*.f64 c (+.f64 a (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)))) (*.f64 a b)) | |
| 2.5% | (/.f64 (*.f64 b b) (*.f64 a b)) | |
| 1.4% | (/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) b)) | |
| 10.0% | (/.f64 c b) | |
| 15.5% | (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) | |
| ✓ | 32.5% | (/.f64 b (neg.f64 a)) |
| ✓ | 2.7% | (/.f64 b a) |
| 29.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))) | |
| ✓ | 47.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
| 31.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) | |
| ✓ | 2.7% | (/.f64 #s(literal 1 binary64) (/.f64 a b)) |
| 32.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) a)) | |
| 32.4% | (/.f64 #s(literal -1 binary64) (/.f64 a b)) | |
| 32.3% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 39.5% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| 13.4% | (+.f64 (/.f64 (/.f64 (+.f64 b b) #s(literal -2 binary64)) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))) | |
| 17.1% | (*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (/.f64 b a)) | |
| 11.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b))) (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b)))) | |
| 2.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) b) | |
| 19.4% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)))) | |
| ✓ | 47.1% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| ✓ | 31.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| 2.7% | (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) | |
| 4.0% | (*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 b b)) (+.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a c))))))) | |
| 10.7% | (*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a))) | |
| 10.0% | (*.f64 b (/.f64 c (*.f64 b b))) | |
| 32.2% | (*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a))) | |
| 16.8% | (*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) b))) | |
| 16.8% | (*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) b))))) | |
| 16.9% | (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) | |
| 9.7% | (*.f64 b (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) | |
| ✓ | 10.4% | #s(literal 0 binary64) |
Compiled 1796 to 810 computations (54.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 b a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.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 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 b (/.f64 c (*.f64 b b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (*.f64 b b) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) a)) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (/.f64 (/.f64 (*.f64 b (+.f64 b b)) b) #s(literal -2 binary64)) a) |
(*.f64 b (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (/.f64 b a)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b))) (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b)))) |
(/.f64 (*.f64 c (+.f64 a (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)))) (*.f64 a b)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) a) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 b b)) (+.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a c))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))) |
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (/.f64 (/.f64 (+.f64 b b) #s(literal -2 binary64)) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (pow.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) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/4 binary64))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -2 binary64)) a) |
(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 (+.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64)) (sqrt.f64 a)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) c) #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal -1/2 binary64)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64))))) #s(literal -2 binary64)) a) |
(fma.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 c)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 b (neg.f64 a)) |
4 calls:
| 26.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 21.0ms | b |
| 21.0ms | a |
| 21.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 4 | a |
| 85.3% | 3 | b |
| 54.6% | 4 | c |
| 78.3% | 5 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 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 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.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 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 b (/.f64 c (*.f64 b b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (*.f64 b b) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) a)) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (/.f64 (/.f64 (*.f64 b (+.f64 b b)) b) #s(literal -2 binary64)) a) |
(*.f64 b (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (/.f64 b a)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b))) (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b)))) |
(/.f64 (*.f64 c (+.f64 a (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)))) (*.f64 a b)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) a) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 b b)) (+.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a c))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))) |
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (/.f64 (/.f64 (+.f64 b b) #s(literal -2 binary64)) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
(/.f64 b (neg.f64 a)) |
1 calls:
| 16.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 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 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.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 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 b (/.f64 c (*.f64 b b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (*.f64 b b) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) a)) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (/.f64 (/.f64 (*.f64 b (+.f64 b b)) b) #s(literal -2 binary64)) a) |
(*.f64 b (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (/.f64 b a)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b))) (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b)))) |
(/.f64 (*.f64 c (+.f64 a (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)))) (*.f64 a b)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) a) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 b b)) (+.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a c))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))) |
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 b (neg.f64 a)) |
1 calls:
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 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 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.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 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 b (/.f64 c (*.f64 b b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (*.f64 b b) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) a)) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (/.f64 (/.f64 (*.f64 b (+.f64 b b)) b) #s(literal -2 binary64)) a) |
(*.f64 b (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (/.f64 b a)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b))) (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b)))) |
(/.f64 (*.f64 c (+.f64 a (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)))) (*.f64 a b)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) a) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 b b)) (+.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a c))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))) |
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 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 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.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 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 b (/.f64 c (*.f64 b b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (*.f64 b b) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) a)) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (/.f64 (/.f64 (*.f64 b (+.f64 b b)) b) #s(literal -2 binary64)) a) |
(*.f64 b (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (/.f64 b a)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b))) (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b)))) |
(/.f64 (*.f64 c (+.f64 a (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)))) (*.f64 a b)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) a) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 b b)) (+.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a c))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))) |
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) #s(literal -2 binary64)) a) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 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 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.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 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 b (/.f64 c (*.f64 b b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (*.f64 b b) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) a)) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (/.f64 (/.f64 (*.f64 b (+.f64 b b)) b) #s(literal -2 binary64)) a) |
(*.f64 b (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (/.f64 b a)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b))) (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b)))) |
(/.f64 (*.f64 c (+.f64 a (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)))) (*.f64 a b)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) a) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 b b)) (+.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a c))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))) |
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b) #s(literal -2 binary64)) a) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 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 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.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 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 b (/.f64 c (*.f64 b b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (*.f64 b b) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) a)) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (/.f64 (/.f64 (*.f64 b (+.f64 b b)) b) #s(literal -2 binary64)) a) |
(*.f64 b (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (/.f64 b a)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b))) (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b)))) |
(/.f64 (*.f64 c (+.f64 a (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)))) (*.f64 a b)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) a) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 b b)) (+.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a c))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))) |
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 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 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.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 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 b (/.f64 c (*.f64 b b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (*.f64 b b) (*.f64 a b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) a)) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) a) |
(/.f64 (/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) #s(literal -2 binary64)) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (/.f64 (/.f64 (*.f64 b (+.f64 b b)) b) #s(literal -2 binary64)) a) |
(*.f64 b (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b))) |
(*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (/.f64 b a)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b a))))) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b b))) (*.f64 b (-.f64 (*.f64 a c) (*.f64 b b)))) |
(/.f64 (*.f64 c (+.f64 a (/.f64 (*.f64 a (*.f64 a c)) (*.f64 b b)))) (*.f64 a b)) |
(*.f64 b (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) b))))) |
(*.f64 b (/.f64 (+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 b b) c) a))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) a) |
(*.f64 b (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 b b)) (+.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a c))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))) |
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b b)) (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 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 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.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 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 b (/.f64 c (*.f64 b b))) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 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 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
| Outputs |
|---|
#s(literal 0 binary64) |
(/.f64 b (neg.f64 a)) |
3 calls:
| 22.0ms | c |
| 3.0ms | a |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.5% | 1 | a |
| 32.5% | 1 | c |
| 40.2% | 2 | b |
Compiled 12 to 9 computations (25% saved)
Total -5.7b remaining (-9.9%)
Threshold costs -5.7b (-9.9%)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 b a) |
(/.f64 c b) |
| Outputs |
|---|
#s(literal 0 binary64) |
3 calls:
| 2.0ms | b |
| 2.0ms | c |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.4% | 1 | c |
| 10.4% | 1 | a |
| 10.4% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 9.577445213420236e+116 | 1.7128287671490626e+120 |
| 36.0ms | -5.7830622327771475e-92 | -1.973578763418537e-102 |
| 19.0ms | 169× | 0 | valid |
| 7.0ms | 35× | 1 | valid |
| 6.0ms | 20× | 2 | valid |
| 3.0ms | 37× | 0 | invalid |
Compiled 470 to 351 computations (25.3% saved)
ival-mult: 9.0ms (36.6% of total)ival-neg: 5.0ms (20.3% of total)ival-div: 3.0ms (12.2% of total)ival-sub: 3.0ms (12.2% of total)ival-sqrt: 3.0ms (12.2% of total)backward-pass: 1.0ms (4.1% of total)const: 1.0ms (4.1% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 9.577445213420236e+116 | 1.7128287671490626e+120 |
| 39.0ms | -5.7830622327771475e-92 | -1.973578763418537e-102 |
| 20.0ms | 215× | 0 | valid |
| 13.0ms | 45× | 1 | valid |
| 6.0ms | 61× | 0 | invalid |
| 4.0ms | 12× | 2 | valid |
Compiled 512 to 369 computations (27.9% saved)
ival-mult: 15.0ms (51.6% of total)ival-sub: 4.0ms (13.7% of total)ival-div: 3.0ms (10.3% of total)ival-sqrt: 3.0ms (10.3% of total)ival-neg: 2.0ms (6.9% of total)backward-pass: 1.0ms (3.4% of total)const: 1.0ms (3.4% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 9.577445213420236e+116 | 1.7128287671490626e+120 |
| 40.0ms | -5.7830622327771475e-92 | -1.973578763418537e-102 |
| 22.0ms | 233× | 0 | valid |
| 10.0ms | 20× | 2 | valid |
| 7.0ms | 63× | 0 | invalid |
| 7.0ms | 35× | 1 | valid |
Compiled 540 to 389 computations (28% saved)
ival-mult: 15.0ms (47.4% of total)ival-sub: 5.0ms (15.8% of total)ival-sqrt: 5.0ms (15.8% of total)ival-div: 3.0ms (9.5% of total)ival-neg: 2.0ms (6.3% of total)backward-pass: 1.0ms (3.2% of total)const: 1.0ms (3.2% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 9.656266248622168e-60 | 6.269041536659467e-59 |
| 37.0ms | -5.7830622327771475e-92 | -1.973578763418537e-102 |
| 20.0ms | 200× | 0 | valid |
| 9.0ms | 100× | 0 | invalid |
| 7.0ms | 20× | 2 | valid |
| 7.0ms | 36× | 1 | valid |
Compiled 486 to 371 computations (23.7% saved)
ival-mult: 12.0ms (42.6% of total)ival-sub: 4.0ms (14.2% of total)ival-sqrt: 4.0ms (14.2% of total)ival-div: 3.0ms (10.6% of total)ival-neg: 2.0ms (7.1% of total)backward-pass: 1.0ms (3.5% of total)const: 1.0ms (3.5% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 9.656266248622168e-60 | 6.269041536659467e-59 |
| 39.0ms | -5.7830622327771475e-92 | -1.973578763418537e-102 |
| 19.0ms | 201× | 0 | valid |
| 9.0ms | 39× | 1 | valid |
| 8.0ms | 16× | 2 | valid |
| 6.0ms | 70× | 0 | invalid |
Compiled 454 to 339 computations (25.3% saved)
ival-mult: 12.0ms (40.3% of total)ival-neg: 6.0ms (20.2% of total)ival-sub: 4.0ms (13.4% of total)ival-div: 3.0ms (10.1% of total)ival-sqrt: 3.0ms (10.1% of total)backward-pass: 1.0ms (3.4% of total)const: 1.0ms (3.4% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 9.656266248622168e-60 | 6.269041536659467e-59 |
| 34.0ms | -5.7830622327771475e-92 | -1.973578763418537e-102 |
| 22.0ms | 209× | 0 | valid |
| 8.0ms | 82× | 0 | invalid |
| 6.0ms | 31× | 1 | valid |
| 5.0ms | 16× | 2 | valid |
Compiled 438 to 323 computations (26.3% saved)
ival-mult: 11.0ms (44.1% of total)ival-sub: 4.0ms (16.1% of total)ival-div: 3.0ms (12% of total)ival-sqrt: 3.0ms (12% of total)ival-neg: 2.0ms (8% of total)backward-pass: 1.0ms (4% of total)const: 1.0ms (4% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 9.656266248622168e-60 | 6.269041536659467e-59 |
| 35.0ms | -5.7830622327771475e-92 | -1.973578763418537e-102 |
| 19.0ms | 203× | 0 | valid |
| 9.0ms | 77× | 0 | invalid |
| 7.0ms | 38× | 1 | valid |
| 4.0ms | 15× | 2 | valid |
Compiled 438 to 323 computations (26.3% saved)
ival-mult: 11.0ms (43.9% of total)ival-sub: 4.0ms (16% of total)ival-div: 3.0ms (12% of total)ival-sqrt: 3.0ms (12% of total)ival-neg: 2.0ms (8% of total)const: 1.0ms (4% of total)backward-pass: 1.0ms (4% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | -4.6973971872284256e-306 | 1.301676097261601e-305 |
| 13.0ms | 144× | 0 | valid |
| 6.0ms | 63× | 0 | invalid |
Compiled 206 to 145 computations (29.6% saved)
ival-mult: 6.0ms (49% of total)ival-sub: 2.0ms (16.3% of total)ival-div: 1.0ms (8.2% of total)ival-sqrt: 1.0ms (8.2% of total)ival-neg: 1.0ms (8.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | -4.6973971872284256e-306 | 1.301676097261601e-305 |
| 13.0ms | 144× | 0 | valid |
| 7.0ms | 76× | 0 | invalid |
Compiled 179 to 136 computations (24% saved)
ival-mult: 6.0ms (46.3% of total)ival-sub: 2.0ms (15.4% of total)ival-div: 2.0ms (15.4% of total)ival-sqrt: 2.0ms (15.4% of total)ival-neg: 1.0ms (7.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | -4.6973971872284256e-306 | 1.301676097261601e-305 |
| 14.0ms | 144× | 0 | valid |
| 7.0ms | 72× | 0 | invalid |
Compiled 143 to 118 computations (17.5% saved)
ival-mult: 6.0ms (46.5% of total)ival-sub: 2.0ms (15.5% of total)ival-div: 2.0ms (15.5% of total)ival-sqrt: 2.0ms (15.5% of total)ival-neg: 1.0ms (7.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 32× | +-commutative_binary64 |
| 26× | *-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 10× | neg-mul-1_binary64 |
| 8× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 264 |
| 1 | 132 | 264 |
| 2 | 144 | 264 |
| 3 | 152 | 264 |
| 4 | 157 | 264 |
| 5 | 159 | 264 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -6898843836898135/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 499999999999999990001734173697100590834402596448504259094324155915386207313714362732394717464996219877388037590538518528 binary64)) (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -5988783586073275/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 75000000000000000292055919796808457071114213922031061361465021175027559017048435180892704563878189286310200255866470400 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -866025077397851/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 55999999999999997231742097211211367203175572303857488321033219497821197532744030316677391167481120825941625162237476864 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -2630367692706693/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 6332379880165729/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -267733854436217/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1492632400324779/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -2018278782071263/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 8141631274498795/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -2788894317043927/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1696173182187249/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 b (neg.f64 a))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a))) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -6898843836898135/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 499999999999999990001734173697100590834402596448504259094324155915386207313714362732394717464996219877388037590538518528 binary64)) (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -6898843836898135/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 499999999999999990001734173697100590834402596448504259094324155915386207313714362732394717464996219877388037590538518528 binary64)) (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -5988783586073275/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 75000000000000000292055919796808457071114213922031061361465021175027559017048435180892704563878189286310200255866470400 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -5988783586073275/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 75000000000000000292055919796808457071114213922031061361465021175027559017048435180892704563878189286310200255866470400 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -866025077397851/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 55999999999999997231742097211211367203175572303857488321033219497821197532744030316677391167481120825941625162237476864 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -866025077397851/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 55999999999999997231742097211211367203175572303857488321033219497821197532744030316677391167481120825941625162237476864 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -2630367692706693/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 6332379880165729/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) c)) a) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -2630367692706693/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 6332379880165729/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) a) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -267733854436217/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1492632400324779/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -2018278782071263/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 8141631274498795/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -2788894317043927/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1696173182187249/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 b (neg.f64 a))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
#s(literal 0 binary64) |
| 9530× | *-lowering-*.f32 |
| 9530× | *-lowering-*.f64 |
| 7232× | *-lowering-*.f32 |
| 7232× | *-lowering-*.f64 |
| 6468× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 873 | 9908 |
| 1 | 3038 | 9715 |
| 0 | 9063 | 9715 |
| 0 | 35 | 163 |
| 1 | 218 | 157 |
| 2 | 1698 | 152 |
| 0 | 8508 | 152 |
| 0 | 14 | 16 |
| 1 | 38 | 16 |
| 2 | 100 | 16 |
| 3 | 269 | 15 |
| 4 | 493 | 15 |
| 5 | 1002 | 15 |
| 6 | 3154 | 15 |
| 7 | 5807 | 15 |
| 8 | 6441 | 15 |
| 9 | 7371 | 15 |
| 10 | 7536 | 15 |
| 11 | 7576 | 15 |
| 12 | 7582 | 15 |
| 0 | 7582 | 15 |
| 0 | 13 | 56 |
| 1 | 66 | 56 |
| 2 | 540 | 56 |
| 3 | 6544 | 56 |
| 0 | 8057 | 56 |
| 0 | 610 | 3728 |
| 1 | 2115 | 3618 |
| 2 | 7557 | 3606 |
| 0 | 8211 | 3606 |
| 0 | 797 | 6215 |
| 1 | 2750 | 6031 |
| 0 | 8403 | 6031 |
| 0 | 35 | 200 |
| 1 | 227 | 187 |
| 2 | 2219 | 183 |
| 0 | 9121 | 183 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 728 to 450 computations (38.2% saved)
Compiled 818 to 288 computations (64.8% saved)
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