
Time bar (total: 12.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 21 to 15 computations (28.6% saved)
ival-mult: 40.0ms (45.8% of total)ival-sqrt: 11.0ms (12.6% of total)ival-add: 10.0ms (11.5% of total)ival-div: 8.0ms (9.2% of total)ival-neg: 8.0ms (9.2% of total)ival-sub: 7.0ms (8% of total)const: 2.0ms (2.3% of total)backward-pass: 0.0ms (0% of total)| 744.0ms | 5516× | 0 | valid |
| 737.0ms | 1910× | 2 | valid |
| 188.0ms | 830× | 1 | valid |
| 88.0ms | 956× | 0 | invalid |
ival-mult: 506.0ms (39.8% of total)ival-div: 214.0ms (16.8% of total)ival-sqrt: 167.0ms (13.1% of total)ival-add: 122.0ms (9.6% of total)ival-neg: 97.0ms (7.6% of total)ival-sub: 75.0ms (5.9% of total)backward-pass: 68.0ms (5.4% of total)const: 21.0ms (1.7% of total)| 2× | egg-herbie |
| 2302× | fnmadd-define |
| 1686× | div-sub |
| 1682× | fma-define |
| 1682× | fnmadd-define |
| 1636× | sum5-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 165 |
| 1 | 186 | 150 |
| 2 | 547 | 150 |
| 3 | 1496 | 150 |
| 4 | 4636 | 150 |
| 0 | 14 | 16 |
| 1 | 33 | 15 |
| 2 | 72 | 15 |
| 3 | 171 | 15 |
| 4 | 296 | 15 |
| 5 | 528 | 15 |
| 6 | 1046 | 15 |
| 7 | 2242 | 15 |
| 8 | 5162 | 15 |
| 9 | 7732 | 15 |
| 0 | 8148 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) |
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))) |
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))) |
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) |
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/ (- (sqrt (fmsub b b (* 4 (* a c)))) b) (* a 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) |
(/ (- (sqrt (fmsub b b (* a (* c -4)))) b) (* a -2)) |
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ b (sqrt (fmsub b b (* 4 (* a c))))) (* a 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) |
(/ (- (sqrt (fmsub b b (* a (* c -4)))) b) (* a 2)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))) |
(/ (- (sqrt (fmsub b b (* a (* c -4)))) b) (* a 2)) |
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))) |
(/ (+ b (sqrt (fmsub b b (* 4 (* a c))))) (* a -2)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))) |
(/ (- (sqrt (fmsub b b (* a (* c -4)))) b) (* a -2)) |
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) |
(/ (- (sqrt (fmsub a a (* b (* 4 c)))) a) (* b 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) |
(/ (- (sqrt (fmsub b b (* 4 (* a c)))) b) (* c 2)) |
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) |
(/ (- (sqrt (fmsub c c (* b (* 4 a)))) c) (* a 2)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 107 | 0 | - | 2 | (8.322223429382826e-124 1.591285193339241e-251 -1.7113347701631e-190) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 57 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 14 | 1 | (-1.4253002147888112e-114 5.041383616510354e+236 1.8929269050521614e-87) | 1 | (9.465228646450057e-263 1.3850507727207745e+207 6.236198550485142e+149) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 6 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | a |
| 61.0ms | 358× | 0 | valid |
| 40.0ms | 100× | 2 | valid |
| 16.0ms | 54× | 1 | valid |
Compiled 168 to 44 computations (73.8% saved)
ival-mult: 21.0ms (38.1% of total)ival-sqrt: 7.0ms (12.7% of total)ival-div: 6.0ms (10.9% of total)backward-pass: 6.0ms (10.9% of total)ival-neg: 5.0ms (9.1% of total)ival-sub: 5.0ms (9.1% of total)ival-add: 4.0ms (7.3% of total)const: 1.0ms (1.8% of total)Compiled 19 to 13 computations (31.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.9% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| ▶ | 53.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 39 to 27 computations (30.8% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | cost-diff | 64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 1926× | fnmadd-define |
| 1506× | fnmsub-define |
| 1384× | fma-define |
| 1364× | fmm-def |
| 1332× | fmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 130 |
| 1 | 52 | 126 |
| 2 | 112 | 126 |
| 3 | 212 | 126 |
| 4 | 353 | 126 |
| 5 | 603 | 126 |
| 6 | 1164 | 126 |
| 7 | 2386 | 126 |
| 8 | 5092 | 126 |
| 9 | 7179 | 126 |
| 0 | 8035 | 126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(neg b) |
b |
(sqrt (- (* b b) (* (* 4 a) c))) |
(- (* b b) (* (* 4 a) c)) |
(* b b) |
(* (* 4 a) c) |
(* 4 a) |
4 |
a |
c |
(* 2 a) |
2 |
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
a |
(* c -4) |
c |
-4 |
(* a 2) |
2 |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
b |
(sqrt (- (* b b) (* (* 4 a) c))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(- (* b b) (* (* 4 a) c)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* (* 4 a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
4 |
#s(literal 4 binary64) |
a |
c |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
a |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.1% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 94.7% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 80.5% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 61.3% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | accuracy | 98.1% | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | accuracy | 94.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 80.5% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 61.3% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 38.0ms | 179× | 0 | valid |
| 35.0ms | 50× | 2 | valid |
| 22.0ms | 27× | 1 | valid |
Compiled 140 to 23 computations (83.6% saved)
ival-mult: 18.0ms (32.6% of total)ival-sub: 11.0ms (19.9% of total)backward-pass: 7.0ms (12.7% of total)ival-div: 6.0ms (10.9% of total)ival-sqrt: 6.0ms (10.9% of total)ival-add: 4.0ms (7.2% of total)ival-neg: 2.0ms (3.6% of total)const: 1.0ms (1.8% of total)| Inputs |
|---|
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))> |
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))> |
#<alt (sqrt (- (* b b) (* (* 4 a) c)))> |
#<alt (- (* b b) (* (* 4 a) c))> |
#<alt (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))> |
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)> |
#<alt (sqrt (+ (* b b) (* a (* c -4))))> |
#<alt (+ (* b b) (* a (* c -4)))> |
| Outputs |
|---|
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -4 (* a c))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<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 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -4 (* a c))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | 0 | (- (* b b) (* (* 4 a) c)) |
| 1.0ms | c | @ | -inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1.0ms | a | @ | inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1.0ms | b | @ | inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1.0ms | c | @ | -inf | (sqrt (- (* b b) (* (* 4 a) c))) |
| 1× | batch-egg-rewrite |
| 2606× | /-lowering-/.f32 |
| 2606× | /-lowering-/.f64 |
| 2536× | *-lowering-*.f32 |
| 2536× | *-lowering-*.f64 |
| 1762× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 90 |
| 1 | 127 | 86 |
| 2 | 1108 | 86 |
| 0 | 8817 | 86 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(- (* b b) (* (* 4 a) c)) |
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
| Outputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(+.f64 (fma.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (-.f64 #s(literal 0 binary64) 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 a (*.f64 #s(literal 4 binary64) c))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (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 b (+.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 (*.f64 b b)) (+.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b (+.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 (*.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 2 binary64))) (/.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 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 (*.f64 a #s(literal 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 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 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 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))))))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) 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 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) 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 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (/.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 a #s(literal 2 binary64)) b))))) (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (/.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 a #s(literal 2 binary64)) b)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (/.f64 (/.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 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 #s(literal 0 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b) (*.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 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (+.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 a #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 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 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b (+.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 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 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 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b (+.f64 b (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 3/2 binary64)) (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) (-.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #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 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (*.f64 a #s(literal 2 binary64))) (-.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.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 a #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))))) (*.f64 a #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (+.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 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c)))) (+.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 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (+.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 b)) (*.f64 b (*.f64 b b))) (+.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 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c)))) (+.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 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c)))) (+.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 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (+.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 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c)))) (+.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 (*.f64 c #s(literal -4 binary64))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(/.f64 (-.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)))) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 4 binary64)) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 4 binary64)) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 4 binary64)) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) |
(/.f64 (-.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)))) (*.f64 (+.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (+.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.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))))) (-.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (-.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 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 2 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 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) |
(*.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) (/.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 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) |
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 #s(literal 0 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(*.f64 (+.f64 (*.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 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) (/.f64 #s(literal 1 binary64) (+.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)))) (-.f64 (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))))) |
(*.f64 (-.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)))) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c))))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) #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 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 5892× | *-lowering-*.f32 |
| 5892× | *-lowering-*.f64 |
| 2358× | +-lowering-+.f64 |
| 2358× | +-lowering-+.f32 |
| 1620× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 555 | 6142 |
| 1 | 1920 | 5982 |
| 2 | 7203 | 5982 |
| 0 | 8075 | 5982 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 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) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -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)))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
| Outputs |
|---|
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (+.f64 (-.f64 (*.f64 #s(literal -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 a (*.f64 c c)) (*.f64 b b))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) c)) b) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.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 c (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (*.f64 c (/.f64 c (*.f64 b (*.f64 b b)))))) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a))) b))) (*.f64 c (/.f64 c (*.f64 b (*.f64 b b)))))) (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/2 binary64) b)) a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/128 binary64)))) a)) a)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/4 binary64) b) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c a))))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.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 c (*.f64 a (*.f64 a a)))) (*.f64 c c)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.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 c (*.f64 a (*.f64 a a)))) (*.f64 c c)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) (*.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))))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (/.f64 (*.f64 (/.f64 b a) #s(literal 1/2 binary64)) c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/128 binary64))) (*.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)))) c)) c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
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b |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
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(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
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(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.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)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c 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))))))) |
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
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(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(- (pow b 2) (* 4 (* a c))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(- (pow b 2) (* 4 (* a c))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(- (pow b 2) (* 4 (* a c))) |
(+.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 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
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(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
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(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
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(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
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(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
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(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
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(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (+.f64 (-.f64 (*.f64 #s(literal -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 a (*.f64 c c)) (*.f64 b b))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) c)) b) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.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 c (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 c (+.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 c (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (*.f64 (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 b c)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 c (neg.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) b) c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) c)) b) c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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(+ (* (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))))))) |
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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))))))))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 b (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.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 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 c a) b) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 a (*.f64 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 c b) #s(literal -2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 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 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a 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))))) |
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))))) (*.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))))) |
(* 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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))))) (*.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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #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 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (*.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)))))) |
(* -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 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (*.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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))) (neg.f64 a)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 c (*.f64 #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 #s(literal -2 binary64)) b) (*.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 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.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)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c 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 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))) |
(* -4 (* a c)) |
(*.f64 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 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
Compiled 42948 to 2609 computations (93.9% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1023 | 19 | 1042 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1024 | 20 | 1044 |
| Status | Accuracy | Program |
|---|---|---|
| 29.9% | (/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b b)) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) | |
| 23.2% | (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 18.7% | (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
| ▶ | 52.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))) |
| 51.3% | (/.f64 (-.f64 (/.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) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 25.1% | (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
| 34.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) | |
| ✓ | 52.9% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| 35.0% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 27.1% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) | |
| 34.0% | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) | |
| 18.0% | (/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 35.7% | (/.f64 b (neg.f64 a)) |
| 52.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))) | |
| 32.4% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| 27.7% | (*.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) a)) | |
| ▶ | 52.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) |
| 35.0% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) | |
| 30.5% | (*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) | |
| 23.3% | (*.f64 c (+.f64 (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
Compiled 807 to 513 computations (36.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) c) |
| ✓ | cost-diff | 128 | (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
| ✓ | cost-diff | -64 | (neg.f64 a) |
| ✓ | cost-diff | -64 | (/.f64 b (neg.f64 a)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) |
| 3494× | *-lowering-*.f32 |
| 3494× | *-lowering-*.f64 |
| 1624× | fma-define |
| 1612× | sum5-define |
| 1294× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 307 |
| 1 | 111 | 301 |
| 2 | 320 | 294 |
| 3 | 1018 | 292 |
| 4 | 3298 | 291 |
| 5 | 7302 | 291 |
| 0 | 8062 | 291 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1/2 a) (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
(/ 1/2 a) |
1/2 |
a |
(- (sqrt (- (* b b) (* a (* 4 c)))) b) |
(sqrt (- (* b b) (* a (* 4 c)))) |
(- (* b b) (* a (* 4 c))) |
(* b b) |
b |
(* a (* 4 c)) |
(* 4 c) |
4 |
c |
(/ b (neg a)) |
b |
(neg a) |
a |
(/ (- (- 0 c) (/ (* a (* c c)) (* b b))) b) |
(- (- 0 c) (/ (* a (* c c)) (* b b))) |
(- 0 c) |
0 |
c |
(/ (* a (* c c)) (* b b)) |
(* a (* c c)) |
a |
(* c c) |
(* b b) |
b |
(/ (/ (* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a 2)) |
(/ (* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) |
(* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) |
-2 |
(+ (* 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 |
(* a 2) |
2 |
(/ (/ 1/2 a) (/ 1 (- (sqrt (- (* b b) (* a (* 4 c)))) b))) |
(/ 1/2 a) |
1/2 |
a |
(/ 1 (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
1 |
(- (sqrt (- (* b b) (* a (* 4 c)))) b) |
(sqrt (- (* b b) (* a (* 4 c)))) |
(- (* b b) (* a (* 4 c))) |
(* b b) |
b |
(* a (* 4 c)) |
(* 4 c) |
4 |
c |
| Outputs |
|---|
(* (/ 1/2 a) (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(- (sqrt (- (* b b) (* a (* 4 c)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(sqrt (- (* b b) (* a (* 4 c)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(- (* b b) (* a (* 4 c))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b 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 (neg a)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
b |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(/ (- (- 0 c) (/ (* a (* c c)) (* b b))) b) |
(*.f64 (/.f64 c b) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))) |
(- (- 0 c) (/ (* a (* c c)) (* b b))) |
(*.f64 c (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))) |
(- 0 c) |
(-.f64 #s(literal 0 binary64) c) |
0 |
#s(literal 0 binary64) |
c |
(/ (* a (* c c)) (* b b)) |
(/.f64 (/.f64 (*.f64 a (*.f64 c c)) b) b) |
(* a (* c c)) |
(*.f64 a (*.f64 c c)) |
a |
(* c c) |
(*.f64 c c) |
(* b b) |
(*.f64 b b) |
b |
(/ (/ (* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a 2)) |
(/.f64 (*.f64 a (*.f64 c (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b b))))) (*.f64 a b)) |
(/ (* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) |
(/.f64 (*.f64 (*.f64 a c) (+.f64 #s(literal -2 binary64) (*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)))) b) |
(* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) |
(*.f64 (*.f64 a c) (+.f64 #s(literal -2 binary64) (*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)))) |
-2 |
#s(literal -2 binary64) |
(+ (* c a) (/ (* c (* c (* a a))) (* b b))) |
(*.f64 a (*.f64 c (+.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 |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (/ 1/2 a) (/ 1 (- (sqrt (- (* b b) (* a (* 4 c)))) b))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(/ 1 (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
1 |
#s(literal 1 binary64) |
(- (sqrt (- (* b b) (* a (* 4 c)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(sqrt (- (* b b) (* a (* 4 c)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(- (* b b) (* a (* 4 c))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b 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 |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.1% | (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) |
| ✓ | accuracy | 94.4% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))) |
| ✓ | accuracy | 80.5% | (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b) |
| ✓ | accuracy | 61.3% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) |
| ✓ | accuracy | 93.3% | (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) |
| ✓ | accuracy | 90.8% | (*.f64 c (*.f64 a a)) |
| ✓ | accuracy | 86.2% | (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 73.7% | (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 98.9% | (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
| ✓ | accuracy | 89.2% | (*.f64 a (*.f64 c c)) |
| ✓ | accuracy | 73.0% | (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (/.f64 b (neg.f64 a)) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 98.1% | (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) |
| ✓ | accuracy | 94.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) |
| ✓ | accuracy | 80.5% | (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b) |
| ✓ | accuracy | 61.3% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) |
| 85.0ms | 179× | 0 | valid |
| 52.0ms | 47× | 2 | valid |
| 23.0ms | 27× | 1 | valid |
| 4.0ms | 3× | 3 | valid |
Compiled 330 to 38 computations (88.5% saved)
ival-mult: 29.0ms (37% of total)ival-div: 25.0ms (31.9% of total)backward-pass: 9.0ms (11.5% of total)ival-sub: 8.0ms (10.2% of total)ival-sqrt: 3.0ms (3.8% of total)ival-add: 2.0ms (2.6% of total)ival-neg: 2.0ms (2.6% of total)const: 1.0ms (1.3% of total)| Inputs |
|---|
#<alt (* (/ 1/2 a) (- (sqrt (- (* b b) (* a (* 4 c)))) b))> |
#<alt (/ 1/2 a)> |
#<alt (- (sqrt (- (* b b) (* a (* 4 c)))) b)> |
#<alt (sqrt (- (* b b) (* a (* 4 c))))> |
#<alt (/ b (neg a))> |
#<alt (neg a)> |
#<alt (/ (- (- 0 c) (/ (* a (* c c)) (* b b))) b)> |
#<alt (- (- 0 c) (/ (* a (* c c)) (* b b)))> |
#<alt (- 0 c)> |
#<alt (/ (* a (* c c)) (* b b))> |
#<alt (/ (/ (* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a 2))> |
#<alt (/ (* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b)> |
#<alt (* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b))))> |
#<alt (+ (* c a) (/ (* c (* c (* a a))) (* b b)))> |
#<alt (/ (/ 1/2 a) (/ 1 (- (sqrt (- (* b b) (* a (* 4 c)))) b)))> |
#<alt (/ 1 (- (sqrt (- (* b b) (* a (* 4 c)))) b))> |
#<alt (- (* b b) (* a (* 4 c)))> |
#<alt (* a (* c c))> |
#<alt (* b b)> |
#<alt (/ (* c (* c (* a a))) (* b b))> |
#<alt (* c (* a a))> |
| Outputs |
|---|
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 (/ 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 c)> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 2))) 1))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 2))) 1))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 2))) 1))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 2)))> |
#<alt (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))> |
#<alt (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))> |
#<alt (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 2)))> |
#<alt (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))> |
#<alt (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))> |
#<alt (* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))))> |
#<alt (* -1 c)> |
#<alt (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)> |
#<alt (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)> |
#<alt (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 2)))> |
#<alt (* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))> |
#<alt (* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))> |
#<alt (* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 2)))> |
#<alt (* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))> |
#<alt (* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))> |
#<alt (* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 2)))> |
#<alt (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))> |
#<alt (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2))> |
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#<alt (* -1/2 (/ b (* a c)))> |
#<alt (/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)> |
#<alt (/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)> |
#<alt (/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)> |
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))> |
#<alt (/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a)> |
#<alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a)> |
#<alt (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))> |
#<alt (* -1/2 (/ b (* a c)))> |
#<alt (/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c)> |
#<alt (/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)> |
#<alt (/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)> |
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))> |
#<alt (/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c)> |
#<alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c)> |
#<alt (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))> |
#<alt (* -4 (* a c))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<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 (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 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 (/ (* (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)> |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | c | @ | inf | (* a (* c c)) |
| 10.0ms | c | @ | inf | (/ (/ (* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a 2)) |
| 5.0ms | a | @ | 0 | (* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) |
| 2.0ms | b | @ | -inf | (/ b (neg a)) |
| 1.0ms | a | @ | inf | (/ 1 (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
| 1× | batch-egg-rewrite |
| 2580× | /-lowering-/.f32 |
| 2580× | /-lowering-/.f64 |
| 2518× | *-lowering-*.f32 |
| 2518× | *-lowering-*.f64 |
| 2000× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 210 |
| 1 | 238 | 198 |
| 2 | 2303 | 187 |
| 0 | 9628 | 187 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1/2 a) (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
(/ 1/2 a) |
(- (sqrt (- (* b b) (* a (* 4 c)))) b) |
(sqrt (- (* b b) (* a (* 4 c)))) |
(/ b (neg a)) |
(neg a) |
(/ (- (- 0 c) (/ (* a (* c c)) (* b b))) b) |
(- (- 0 c) (/ (* a (* c c)) (* b b))) |
(- 0 c) |
(/ (* a (* c c)) (* b b)) |
(/ (/ (* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) (* a 2)) |
(/ (* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) b) |
(* -2 (+ (* c a) (/ (* c (* c (* a a))) (* b b)))) |
(+ (* c a) (/ (* c (* c (* a a))) (* b b))) |
(/ (/ 1/2 a) (/ 1 (- (sqrt (- (* b b) (* a (* 4 c)))) b))) |
(/ 1 (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
(- (* b b) (* a (* 4 c))) |
(* a (* c c)) |
(* b b) |
(/ (* c (* c (* a a))) (* b b)) |
(* c (* a a)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b))))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b))))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b))))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)) (-.f64 #s(literal 0 binary64) a)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b))))))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) b)) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))))) |
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c |
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(exp.f64 (*.f64 (log.f64 c) #s(literal 1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 3 binary64)) (*.f64 (log.f64 c) #s(literal 2 binary64)))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 c c)) c) |
(-.f64 (/.f64 #s(literal 0 binary64) c) c) |
(fma.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) c) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) c #s(literal 0 binary64)) |
(fma.f64 (*.f64 c (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 c c)) #s(literal 0 binary64)) |
(neg.f64 c) |
(/.f64 (*.f64 c c) c) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)) |
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(pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)) |
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(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(*.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))))) |
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) #s(literal 16 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 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #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 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) |
(neg.f64 (*.f64 a (*.f64 c c))) |
(*.f64 a (*.f64 c c)) |
(*.f64 c (*.f64 a c)) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 c c)) |
(*.f64 (*.f64 c c) a) |
(*.f64 (*.f64 c c) (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (*.f64 a c) c) |
(*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 c c))) |
(*.f64 (neg.f64 (*.f64 a c)) c) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b))) |
(pow.f64 b #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) |
(*.f64 b b) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 c c))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 c c)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 c c))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 c c)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 c c)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) b)))) |
(/.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) b) b) |
(/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) b)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (/.f64 c b) (*.f64 a (*.f64 a c))) b) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) b))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (neg.f64 (*.f64 (/.f64 c b) (*.f64 a (*.f64 a c)))) (-.f64 #s(literal 0 binary64) b)) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 c c)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 c c)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) b)) #s(literal -1 binary64)) |
(*.f64 c (/.f64 (*.f64 c (/.f64 (*.f64 a a) b)) b)) |
(*.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 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 a (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.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 (*.f64 c c) b) (/.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 (*.f64 c c) b) (pow.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 c c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (*.f64 c (/.f64 (*.f64 a a) b)) b) c) |
(*.f64 a (*.f64 a c)) |
(*.f64 c (*.f64 a a)) |
(*.f64 (*.f64 a c) a) |
(*.f64 (*.f64 a a) c) |
| 1× | egg-herbie |
| 7910× | *-lowering-*.f32 |
| 7910× | *-lowering-*.f64 |
| 4688× | +-lowering-+.f64 |
| 4688× | +-lowering-+.f32 |
| 1724× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 919 | 9281 |
| 1 | 3282 | 9018 |
| 0 | 9022 | 9018 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ 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 c) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* c (- (* -1 (/ (* a c) (pow b 2))) 1)) |
(* -1 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* -1 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* -1 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(* -1 (/ (* a (pow c 2)) (pow b 2))) |
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2)))) |
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2)))) |
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2)))) |
(* -1 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (/ (* a (pow c 2)) (pow b 2))) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 2)) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(* -1 c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(* -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)) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -2 (/ a (* b c))) (* -2 (/ (pow a 2) (pow b 3))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c (* a b))) (* -2 (/ (pow c 2) (pow b 3))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -2 (* a c)) |
(* c (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -2 (/ a c)) (* -2 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -2 (/ a c)) (* -2 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -2 (/ a c)) (* -2 (/ (pow a 2) (pow b 2))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -2 (/ a c)) (* -2 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -2 (/ a c)) (* -2 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -2 (/ a c)) (* -2 (/ (pow a 2) (pow b 2))))) |
(* -2 (* a c)) |
(* a (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) |
(* a (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) |
(* a (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -2 (/ c a)) (* -2 (/ (pow c 2) (pow b 2))))) |
(* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -2 (* a (* (pow b 2) c))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(* -2 (* a c)) |
(+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(* -2 (* a c)) |
(+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(* 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))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(* -1/2 (/ b (* a c))) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a)) |
(* -1/2 (/ b (* a c))) |
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c)) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 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) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -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)))) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 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) |
(/ (* (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) |
| Outputs |
|---|
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (*.f64 c c)) c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(+.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 c c)) c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a)) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 c c)) c) a)) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 c c)) c) a)) (pow.f64 b #s(literal 4 binary64))) c) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) a))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) b) |
(* -1 (/ b a)) |
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b |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (/ b a)) |
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #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 a (*.f64 c #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 a (*.f64 c #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 a (*.f64 c #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 a (*.f64 c #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 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) (*.f64 c #s(literal 4 binary64))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) (*.f64 c #s(literal 4 binary64))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) (*.f64 c #s(literal 4 binary64))))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 a #s(literal 4 binary64)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 a #s(literal 4 binary64)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 a #s(literal 4 binary64)))) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(/ (* (pow a 2) (pow c 2)) (pow b 2)) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (*.f64 b b)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
(* (pow a 2) c) |
(*.f64 c (*.f64 a a)) |
Compiled 52160 to 4367 computations (91.6% saved)
35 alts after pruning (33 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1880 | 24 | 1904 |
| Fresh | 5 | 9 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1889 | 35 | 1924 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.6% | (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) (/.f64 c b) c) b) |
| 29.9% | (/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b b)) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) | |
| 8.6% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c c) b) (*.f64 c (/.f64 (*.f64 a (*.f64 c c)) b))) (*.f64 c b)) b) | |
| 14.7% | (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 23.2% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) | |
| 25.5% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) | |
| 23.5% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b)))))))) c)) | |
| 27.8% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) | |
| 23.0% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) | |
| 34.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) | |
| 33.9% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) | |
| 35.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) | |
| 23.4% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a))))) | |
| 24.7% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c))) | |
| 51.3% | (/.f64 (-.f64 (/.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) (*.f64 a #s(literal 2 binary64))) | |
| 29.7% | (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) b) | |
| 34.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) | |
| ✓ | 52.9% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| 35.0% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 27.1% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) | |
| 25.1% | (/.f64 (-.f64 (neg.f64 c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) | |
| 32.4% | (/.f64 (-.f64 #s(literal 0 binary64) c) b) | |
| 9.3% | (/.f64 (+.f64 (fma.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) c) (neg.f64 (*.f64 (/.f64 c b) (/.f64 (*.f64 a c) b)))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 a c) b) (*.f64 (/.f64 c b) (/.f64 (*.f64 a c) b)))) b) | |
| ▶ | 34.0% | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
| ▶ | 8.4% | (/.f64 (*.f64 a (*.f64 c c)) (neg.f64 (*.f64 b (*.f64 b b)))) |
| 18.4% | (/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) | |
| ✓ | 35.7% | (/.f64 b (neg.f64 a)) |
| ▶ | 52.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))) |
| 35.6% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) | |
| 27.7% | (*.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) a)) | |
| 23.1% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) | |
| 34.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) | |
| ▶ | 35.6% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| 35.0% | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) | |
| 15.4% | (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) |
Compiled 1284 to 810 computations (36.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 a c) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a c) b) |
| ✓ | cost-diff | 6272 | (fma.f64 (/.f64 (*.f64 a c) b) (/.f64 c b) c) |
| ✓ | cost-diff | 6272 | (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) (/.f64 c b) c) b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (*.f64 b (*.f64 b b)) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 c c)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b) |
| ✓ | cost-diff | 0 | (*.f64 a #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))) |
| 4202× | *-lowering-*.f32 |
| 4202× | *-lowering-*.f64 |
| 1914× | fma-define |
| 1692× | /-lowering-/.f32 |
| 1692× | /-lowering-/.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 231 |
| 1 | 106 | 226 |
| 2 | 318 | 225 |
| 3 | 1110 | 225 |
| 4 | 3165 | 224 |
| 5 | 7937 | 224 |
| 0 | 8315 | 224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (* a 2) (- (sqrt (- (* b b) (* a (* 4 c)))) b))) |
1 |
(/ (* a 2) (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
(* a 2) |
a |
2 |
(- (sqrt (- (* b b) (* a (* 4 c)))) b) |
(sqrt (- (* b b) (* a (* 4 c)))) |
(- (* b b) (* a (* 4 c))) |
(* b b) |
b |
(* a (* 4 c)) |
(* 4 c) |
4 |
c |
(* (/ -1 a) b) |
(/ -1 a) |
-1 |
a |
b |
(/ (* a (* c c)) (neg (* b (* b b)))) |
(* a (* c c)) |
a |
(* c c) |
c |
(neg (* b (* b b))) |
(* b (* b b)) |
b |
(* b b) |
(/ (* (+ 2 (/ (* a (* c -2)) (* b b))) (- 0 b)) (* a 2)) |
(* (+ 2 (/ (* a (* c -2)) (* b b))) (- 0 b)) |
(+ 2 (/ (* a (* c -2)) (* b b))) |
2 |
(/ (* a (* c -2)) (* b b)) |
(* a (* c -2)) |
a |
(* c -2) |
c |
-2 |
(* b b) |
b |
(- 0 b) |
0 |
(* a 2) |
(/ (+ (* (/ (* a c) b) (/ c b)) c) b) |
(+ (* (/ (* a c) b) (/ c b)) c) |
(/ (* a c) b) |
(* a c) |
a |
c |
b |
(/ c b) |
| Outputs |
|---|
(/ 1 (/ (* a 2) (- (sqrt (- (* b b) (* a (* 4 c)))) b))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (* a 2) (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
(/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
a |
2 |
#s(literal 2 binary64) |
(- (sqrt (- (* b b) (* a (* 4 c)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(sqrt (- (* b b) (* a (* 4 c)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(- (* b b) (* a (* 4 c))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* 4 c)) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(* 4 c) |
(*.f64 #s(literal 4 binary64) c) |
4 |
#s(literal 4 binary64) |
c |
(* (/ -1 a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
-1 |
#s(literal -1 binary64) |
a |
b |
(/ (* a (* c c)) (neg (* b (* b b)))) |
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(* a (* c c)) |
(*.f64 a (*.f64 c c)) |
a |
(* c c) |
(*.f64 c c) |
c |
(neg (* b (* b b))) |
(*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(* b (* b b)) |
(*.f64 b (*.f64 b b)) |
b |
(* b b) |
(*.f64 b b) |
(/ (* (+ 2 (/ (* a (* c -2)) (* b b))) (- 0 b)) (* a 2)) |
(*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c (/.f64 a (*.f64 b b)))))) |
(* (+ 2 (/ (* a (* c -2)) (* b b))) (- 0 b)) |
(*.f64 b (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c (/.f64 a (*.f64 b b)))))) |
(+ 2 (/ (* a (* c -2)) (* b b))) |
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) |
2 |
#s(literal 2 binary64) |
(/ (* a (* c -2)) (* b b)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) |
(* a (* c -2)) |
(*.f64 a (*.f64 c #s(literal -2 binary64))) |
a |
(* c -2) |
(*.f64 c #s(literal -2 binary64)) |
c |
-2 |
#s(literal -2 binary64) |
(* b b) |
(*.f64 b b) |
b |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
0 |
#s(literal 0 binary64) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
(/ (+ (* (/ (* a c) b) (/ c b)) c) b) |
(/.f64 (*.f64 (+.f64 (*.f64 c (/.f64 a (*.f64 b b))) #s(literal 1 binary64)) c) b) |
(+ (* (/ (* a c) b) (/ c b)) c) |
(*.f64 (+.f64 (*.f64 c (/.f64 a (*.f64 b b))) #s(literal 1 binary64)) c) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(* a c) |
(*.f64 a c) |
a |
c |
b |
(/ c b) |
(/.f64 c b) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a c) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 (*.f64 a c) b) (/.f64 c b) c) |
| ✓ | accuracy | 98.9% | (/.f64 (fma.f64 (/.f64 (*.f64 a c) b) (/.f64 c b) c) b) |
| ✓ | accuracy | 90.2% | (/.f64 (*.f64 a c) b) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal 2 binary64)) |
| ✓ | accuracy | 93.6% | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 91.8% | (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | accuracy | 78.7% | (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (neg.f64 (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 89.2% | (*.f64 a (*.f64 c c)) |
| ✓ | accuracy | 73.6% | (/.f64 (*.f64 a (*.f64 c c)) (neg.f64 (*.f64 b (*.f64 b b)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) a) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| ✓ | accuracy | 98.1% | (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) |
| ✓ | accuracy | 94.7% | (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) |
| ✓ | accuracy | 80.5% | (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b) |
| ✓ | accuracy | 61.3% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) |
| 79.0ms | 179× | 0 | valid |
| 59.0ms | 47× | 2 | valid |
| 20.0ms | 27× | 1 | valid |
| 4.0ms | 3× | 3 | valid |
Compiled 250 to 38 computations (84.8% saved)
ival-mult: 36.0ms (40.1% of total)ival-div: 22.0ms (24.5% of total)backward-pass: 8.0ms (8.9% of total)ival-sub: 7.0ms (7.8% of total)compiled-spec: 5.0ms (5.6% of total)ival-sqrt: 4.0ms (4.5% of total)ival-add: 4.0ms (4.5% of total)ival-neg: 2.0ms (2.2% of total)const: 1.0ms (1.1% of total)| Inputs |
|---|
#<alt (/ 1 (/ (* a 2) (- (sqrt (- (* b b) (* a (* 4 c)))) b)))> |
#<alt (/ (* a 2) (- (sqrt (- (* b b) (* a (* 4 c)))) b))> |
#<alt (* a 2)> |
#<alt (- (sqrt (- (* b b) (* a (* 4 c)))) b)> |
#<alt (* (/ -1 a) b)> |
#<alt (/ -1 a)> |
#<alt (* a (* c c))> |
#<alt (* c c)> |
#<alt (* b (* b b))> |
#<alt (* b b)> |
#<alt (/ (* (+ 2 (/ (* a (* c -2)) (* b b))) (- 0 b)) (* a 2))> |
#<alt (* (+ 2 (/ (* a (* c -2)) (* b b))) (- 0 b))> |
#<alt (+ 2 (/ (* a (* c -2)) (* b b)))> |
#<alt (/ (* a (* c -2)) (* b b))> |
#<alt (/ (+ (* (/ (* a c) b) (/ c b)) c) b)> |
#<alt (+ (* (/ (* a c) b) (/ c b)) c)> |
#<alt (/ (* a c) b)> |
#<alt (* a c)> |
#<alt (sqrt (- (* b b) (* a (* 4 c))))> |
#<alt (- (* b b) (* a (* 4 c)))> |
#<alt (/ (* a (* c c)) (neg (* b (* b b))))> |
#<alt (neg (* b (* b b)))> |
| Outputs |
|---|
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (/ b c))> |
#<alt (+ (* -1 (/ b c)) (/ a b))> |
#<alt (+ (* -1 (/ b c)) (* a (+ (* -2 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (/ 1 b))))> |
#<alt (+ (* -1 (/ b c)) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (* -2 (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))))) (/ 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 (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))> |
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (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)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a)))> |
#<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 (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 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 (/ b c))> |
#<alt (* b (- (/ a (pow b 2)) (/ 1 c)))> |
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ a (pow b 2))) (/ 1 c)))> |
#<alt (* b (- (+ (* -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))) (/ a (pow b 2)))) (/ 1 c)))> |
#<alt (* -1 (/ a b))> |
#<alt (* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b))> |
#<alt (* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ a (+ (* -2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b))> |
#<alt (* -1 (/ b c))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) c)> |
#<alt (/ (+ (* -1 b) (* c (+ (* -2 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (/ a b)))) c)> |
#<alt (/ (+ (* -1 b) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))))) (/ a b)))) c)> |
#<alt (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)> |
#<alt (/ (+ (* -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))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) c)> |
#<alt (/ (+ (* -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))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) c)> |
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))> |
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#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))> |
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))> |
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))> |
#<alt c> |
#<alt (+ c (/ (* a (pow c 2)) (pow b 2)))> |
#<alt (+ c (/ (* a (pow c 2)) (pow b 2)))> |
#<alt (+ c (/ (* a (pow c 2)) (pow b 2)))> |
#<alt c> |
#<alt (+ c (/ (* a (pow c 2)) (pow b 2)))> |
#<alt (+ c (/ (* a (pow c 2)) (pow b 2)))> |
#<alt (+ c (/ (* a (pow c 2)) (pow b 2)))> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -4 (* a c))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<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 (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (pow b 3))> |
#<alt (* -1 (pow b 3))> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | c | @ | -inf | (/ (* (+ 2 (/ (* a (* c -2)) (* b b))) (- 0 b)) (* a 2)) |
| 3.0ms | a | @ | 0 | (/ (* a (* c c)) (neg (* b (* b b)))) |
| 3.0ms | a | @ | inf | (/ (* a 2) (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
| 1.0ms | c | @ | inf | (/ (* a 2) (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
| 1.0ms | c | @ | -inf | (/ (* a 2) (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
| 1× | batch-egg-rewrite |
| 3650× | *-lowering-*.f32 |
| 3650× | *-lowering-*.f64 |
| 3444× | /-lowering-/.f32 |
| 3444× | /-lowering-/.f64 |
| 1374× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 180 |
| 1 | 230 | 175 |
| 2 | 1980 | 170 |
| 0 | 8539 | 170 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (* a 2) (- (sqrt (- (* b b) (* a (* 4 c)))) b))) |
(/ (* a 2) (- (sqrt (- (* b b) (* a (* 4 c)))) b)) |
(* a 2) |
(- (sqrt (- (* b b) (* a (* 4 c)))) b) |
(* (/ -1 a) b) |
(/ -1 a) |
(* a (* c c)) |
(* c c) |
(* b (* b b)) |
(* b b) |
(/ (* (+ 2 (/ (* a (* c -2)) (* b b))) (- 0 b)) (* a 2)) |
(* (+ 2 (/ (* a (* c -2)) (* b b))) (- 0 b)) |
(+ 2 (/ (* a (* c -2)) (* b b))) |
(/ (* a (* c -2)) (* b b)) |
(/ (+ (* (/ (* a c) b) (/ c b)) c) b) |
(+ (* (/ (* a c) b) (/ c b)) c) |
(/ (* a c) b) |
(* a c) |
(sqrt (- (* b b) (* a (* 4 c)))) |
(- (* b b) (* a (* 4 c))) |
(/ (* a (* c c)) (neg (* b (* b b)))) |
(neg (* b (* b b))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (/.f64 b #s(literal -2 binary64)) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 b #s(literal -2 binary64)) a)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (neg.f64 (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (neg.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)) a) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a)) |
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(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) |
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(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 4 binary64) c) (*.f64 a (*.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 (pow.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c 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 #s(literal 4 binary64) c) (*.f64 a (*.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 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(neg.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c c)) b) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c)))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 c c)) b)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c c)) #s(literal -1 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) b)) (*.f64 b b)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))))) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal 1 binary64))) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 c c)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) b))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 a (/.f64 (*.f64 c c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 c c) (*.f64 a (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c c) (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 a (*.f64 c c)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 a c) (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 a c) (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 a (/.f64 b c)) (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 a (/.f64 b c)) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) c) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 a b) (/.f64 (*.f64 c c) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 a b) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c c))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 c c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) a) |
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c c) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 c c) #s(literal -1 binary64)) (/.f64 a (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 c c) (-.f64 #s(literal 0 binary64) b)) (/.f64 a (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 a c) #s(literal -1 binary64)) (/.f64 c (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) (/.f64 c (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) |
(*.f64 (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 b (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b b) (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a c)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) b)) #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(neg.f64 (*.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) b) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (+.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 b b)) (*.f64 b b)) |
(/.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) #s(literal 3 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)))) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(pow.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 3 binary64)) |
(*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (*.f64 b b)) #s(literal -1 binary64)) |
(*.f64 (*.f64 b (*.f64 b b)) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 b b)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(*.f64 (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) |
| 1× | egg-herbie |
| 7834× | *-lowering-*.f32 |
| 7834× | *-lowering-*.f64 |
| 4894× | +-lowering-+.f64 |
| 4894× | +-lowering-+.f32 |
| 1726× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 895 | 7465 |
| 1 | 3188 | 7329 |
| 0 | 8616 | 7329 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (/ b c)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (* a (+ (* -2 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b c)) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (* -2 (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (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)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a))) |
(* 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 (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 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 (/ b c)) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ a (pow b 2))) (/ 1 c))) |
(* b (- (+ (* -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))) (/ a (pow b 2)))) (/ 1 c))) |
(* -1 (/ a b)) |
(* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b)) |
(* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ a (+ (* -2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ b c)) |
(/ (+ (* -1 b) (/ (* a c) b)) c) |
(/ (+ (* -1 b) (* c (+ (* -2 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (/ a b)))) c) |
(/ (+ (* -1 b) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))))) (/ a b)))) c) |
(* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c) |
(/ (+ (* -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))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) c) |
(/ (+ (* -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))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) c) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b 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))) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -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)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 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)))))))))) c))) c)) (* -1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) 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)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -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) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 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 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* 2 (/ (* a c) b)) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -2 (/ (* a c) (pow b 2))) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ c b) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(/ (* 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)))) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
c |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 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) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -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)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (pow b 3)) |
(* -1 (pow b 3)) |
(* -1 (pow b 3)) |
(* -1 (pow b 3)) |
(* -1 (pow b 3)) |
(* -1 (pow b 3)) |
(* -1 (pow b 3)) |
(* -1 (pow b 3)) |
(* -1 (pow b 3)) |
(* -1 (pow b 3)) |
(* -1 (pow b 3)) |
(* -1 (pow b 3)) |
| Outputs |
|---|
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 b b))) (*.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) a)) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.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))) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a)) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (+.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a)) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) a)))) b) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 b (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) (*.f64 b a)))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
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2 |
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2 |
#s(literal 2 binary64) |
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2 |
#s(literal 2 binary64) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b)))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) 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 (*.f64 a (*.f64 c c)) a) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)))) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) a) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f64 b (*.f64 a (*.f64 #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 c b) #s(literal -2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))))))) |
(* (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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.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))))) #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 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.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))))) #s(literal -1/8 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (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 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (*.f64 #s(literal -1/64 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)) (sqrt.f64 #s(literal -1 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 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))) (+.f64 (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (*.f64 #s(literal -1/64 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)) (sqrt.f64 #s(literal -1 binary64))))))) (neg.f64 a)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 a 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 #s(literal -2 binary64) a) b) (*.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 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal -1/8 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) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -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 #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 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal -1/8 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) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c 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 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (+.f64 (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(- (pow b 2) (* 4 (* a c))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(- (pow b 2) (* 4 (* a c))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(- (pow b 2) (* 4 (* a c))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.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 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) (*.f64 c #s(literal 4 binary64))) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) (*.f64 c #s(literal 4 binary64))) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a)) (*.f64 c #s(literal 4 binary64))) (neg.f64 a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 a #s(literal 4 binary64)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 a #s(literal 4 binary64)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 a #s(literal 4 binary64)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 a (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
(* -1 (pow b 3)) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) |
Compiled 35123 to 3727 computations (89.4% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1398 | 17 | 1415 |
| Fresh | 8 | 20 | 28 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1410 | 40 | 1450 |
| Status | Accuracy | Program |
|---|---|---|
| 29.9% | (/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b b)) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) | |
| 21.5% | (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) b)) (*.f64 a #s(literal 2 binary64))) | |
| 14.7% | (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 23.2% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) | |
| 25.5% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) | |
| 23.0% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) | |
| 34.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) | |
| 33.9% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) | |
| 35.6% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) | |
| 23.4% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a))))) | |
| 24.7% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c))) | |
| 51.3% | (/.f64 (-.f64 (/.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) (*.f64 a #s(literal 2 binary64))) | |
| 34.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) | |
| ✓ | 52.9% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| 35.0% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 27.1% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) | |
| 32.4% | (/.f64 (-.f64 #s(literal 0 binary64) c) b) | |
| 9.3% | (/.f64 (+.f64 (fma.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) c) (neg.f64 (*.f64 (/.f64 c b) (/.f64 (*.f64 a c) b)))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 a c) b) (*.f64 (/.f64 c b) (/.f64 (*.f64 a c) b)))) b) | |
| 35.6% | (/.f64 (+.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 2 binary64))) | |
| 27.8% | (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b #s(literal -2 binary64)) a)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) | |
| ▶ | 34.0% | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
| ▶ | 9.0% | (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) |
| ▶ | 9.0% | (/.f64 c b) |
| ✓ | 35.7% | (/.f64 b (neg.f64 a)) |
| 30.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c)) | |
| ▶ | 35.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
| 35.6% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) | |
| 33.0% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) | |
| 31.0% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))))) (/.f64 b c))) | |
| 32.2% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) | |
| ▶ | 52.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a)) |
| 32.1% | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c)))) | |
| 35.7% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 33.9% | (*.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) | |
| 27.7% | (*.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) a)) | |
| 34.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) | |
| ✓ | 35.6% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| 18.6% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))) b) | |
| 27.0% | (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a)))) | |
| 15.4% | (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) |
Compiled 1468 to 924 computations (37.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) |
| ✓ | cost-diff | 0 | (*.f64 a #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 c b) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 c b) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) |
| ✓ | cost-diff | 512 | (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 c b) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a)) |
| 3844× | /-lowering-/.f32 |
| 3844× | /-lowering-/.f64 |
| 3812× | *-lowering-*.f32 |
| 3812× | *-lowering-*.f64 |
| 1676× | fma-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 249 |
| 1 | 92 | 244 |
| 2 | 266 | 243 |
| 3 | 793 | 243 |
| 4 | 3873 | 242 |
| 0 | 8954 | 242 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a)) |
1 |
(* (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a) |
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
2 |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
a |
(* c -4) |
c |
-4 |
(/ c b) |
c |
b |
(/ (* a (* (/ c b) 2)) (* a 2)) |
(* a (* (/ c b) 2)) |
a |
(* (/ c b) 2) |
(/ c b) |
c |
b |
2 |
(* a 2) |
(/ (* (+ 2 (* (* a c) (/ -2 (* b b)))) (- 0 b)) (* a 2)) |
(* (+ 2 (* (* a c) (/ -2 (* b b)))) (- 0 b)) |
(+ 2 (* (* a c) (/ -2 (* b b)))) |
2 |
(* (* a c) (/ -2 (* b b))) |
(* a c) |
a |
c |
(/ -2 (* b b)) |
-2 |
(* b b) |
b |
(- 0 b) |
0 |
(* a 2) |
(/ 1 (/ (* a 2) (- (sqrt (* -4 (* c a))) b))) |
1 |
(/ (* a 2) (- (sqrt (* -4 (* c a))) b)) |
(* a 2) |
a |
2 |
(- (sqrt (* -4 (* c a))) b) |
(sqrt (* -4 (* c a))) |
(* -4 (* c a)) |
-4 |
(* c a) |
c |
b |
| Outputs |
|---|
(/ 1 (* (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 2 binary64) a)) |
1 |
#s(literal 1 binary64) |
(* (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a) |
(/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) |
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)) |
2 |
#s(literal 2 binary64) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
a |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
(/ c b) |
(/.f64 c b) |
c |
b |
(/ (* a (* (/ c b) 2)) (* a 2)) |
(/.f64 c b) |
(* a (* (/ c b) 2)) |
(/.f64 (*.f64 c (*.f64 #s(literal 2 binary64) a)) b) |
a |
(* (/ c b) 2) |
(*.f64 #s(literal 2 binary64) (/.f64 c b)) |
(/ c b) |
(/.f64 c b) |
c |
b |
2 |
#s(literal 2 binary64) |
(* a 2) |
(*.f64 #s(literal 2 binary64) a) |
(/ (* (+ 2 (* (* a c) (/ -2 (* b b)))) (- 0 b)) (* a 2)) |
(/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(* (+ 2 (* (* a c) (/ -2 (* b b)))) (- 0 b)) |
(*.f64 b (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (*.f64 b b))))) |
(+ 2 (* (* a c) (/ -2 (* b b)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) |
2 |
#s(literal 2 binary64) |
(* (* a c) (/ -2 (* b b))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
(* a c) |
(*.f64 a c) |
a |
c |
(/ -2 (* b b)) |
(/.f64 #s(literal -2 binary64) (*.f64 b b)) |
-2 |
#s(literal -2 binary64) |
(* b b) |
(*.f64 b b) |
b |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
0 |
#s(literal 0 binary64) |
(* a 2) |
(*.f64 #s(literal 2 binary64) a) |
(/ 1 (/ (* a 2) (- (sqrt (* -4 (* c a))) b))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b) (*.f64 #s(literal 2 binary64) a)) |
1 |
#s(literal 1 binary64) |
(/ (* a 2) (- (sqrt (* -4 (* c a))) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)) |
(* a 2) |
(*.f64 #s(literal 2 binary64) a) |
a |
2 |
#s(literal 2 binary64) |
(- (sqrt (* -4 (* c a))) b) |
(-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b) |
(sqrt (* -4 (* c a))) |
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(* -4 (* c a)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
-4 |
#s(literal -4 binary64) |
(* c a) |
(*.f64 a c) |
c |
b |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -4 binary64) (*.f64 c a)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
| ✓ | accuracy | 81.9% | (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -2 binary64) (*.f64 b b)) |
| ✓ | accuracy | 93.6% | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 91.8% | (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | accuracy | 87.5% | (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b))) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 c b) #s(literal 2 binary64)) |
| ✓ | accuracy | 97.9% | (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) |
| ✓ | accuracy | 87.2% | (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 99.6% | (*.f64 a (*.f64 c #s(literal -4 binary64))) |
| ✓ | accuracy | 96.5% | (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) |
| ✓ | accuracy | 91.9% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 80.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| 70.0ms | 131× | 0 | valid |
| 57.0ms | 89× | 0 | invalid |
| 35.0ms | 21× | 2 | valid |
| 10.0ms | 14× | 1 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 272 to 36 computations (86.8% saved)
ival-mult: 53.0ms (61.6% of total)ival-div: 16.0ms (18.6% of total)ival-sqrt: 5.0ms (5.8% of total)ival-sub: 5.0ms (5.8% of total)backward-pass: 4.0ms (4.7% of total)ival-add: 3.0ms (3.5% of total)const: 1.0ms (1.2% of total)| Inputs |
|---|
#<alt (/ 1 (* (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a))> |
#<alt (* (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a)> |
#<alt (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))> |
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)> |
#<alt (/ c b)> |
#<alt (/ (* a (* (/ c b) 2)) (* a 2))> |
#<alt (* a (* (/ c b) 2))> |
#<alt (* (/ c b) 2)> |
#<alt (/ (* (+ 2 (* (* a c) (/ -2 (* b b)))) (- 0 b)) (* a 2))> |
#<alt (* (+ 2 (* (* a c) (/ -2 (* b b)))) (- 0 b))> |
#<alt (+ 2 (* (* a c) (/ -2 (* b b))))> |
#<alt (* (* a c) (/ -2 (* b b)))> |
#<alt (/ 1 (/ (* a 2) (- (sqrt (* -4 (* c a))) b)))> |
#<alt (/ (* a 2) (- (sqrt (* -4 (* c a))) b))> |
#<alt (* a 2)> |
#<alt (- (sqrt (* -4 (* c a))) b)> |
#<alt (sqrt (+ (* b b) (* a (* c -4))))> |
#<alt (* a (* c -4))> |
#<alt (/ -2 (* b b))> |
#<alt (sqrt (* -4 (* c a)))> |
#<alt (* -4 (* c a))> |
| Outputs |
|---|
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* 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 (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 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 (/ b c))> |
#<alt (* b (- (/ a (pow b 2)) (/ 1 c)))> |
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ a (pow b 2))) (/ 1 c)))> |
#<alt (* b (- (+ (* -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))) (/ a (pow b 2)))) (/ 1 c)))> |
#<alt (* -1 (/ a b))> |
#<alt (* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b))> |
#<alt (* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ a (+ (* -2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b))> |
#<alt (* -1 (/ b c))> |
#<alt (+ (* -1 (/ b c)) (/ a b))> |
#<alt (+ (* -1 (/ b c)) (* a (+ (* -2 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (/ 1 b))))> |
#<alt (+ (* -1 (/ b c)) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (* -2 (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))))) (/ 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 (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))> |
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (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)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a)))> |
#<alt (* -1 (/ b c))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) c)> |
#<alt (/ (+ (* -1 b) (* c (+ (* -2 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (/ a b)))) c)> |
#<alt (/ (+ (* -1 b) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))))) (/ a b)))) c)> |
#<alt (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)> |
#<alt (/ (+ (* -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))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) c)> |
#<alt (/ (+ (* -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))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) c)> |
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b 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))) c)) (* (sqrt (* a c)) (sqrt -1))) c))> |
#<alt (* -1 (/ (+ (* -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)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 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)))))))))) c))) c)) (* -1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))> |
#<alt (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2))))))> |
#<alt (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))> |
#<alt (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))> |
#<alt (* -1 (/ b (* a c)))> |
#<alt (* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))> |
#<alt (* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c))))> |
#<alt (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4))))))> |
#<alt (/ -1 b)> |
#<alt (* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))> |
#<alt (* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b))> |
#<alt (* -1 (/ b (* a c)))> |
#<alt (/ (+ (* -1 (/ b c)) (/ a b)) a)> |
#<alt (/ (+ (* -1 (/ b c)) (* a (+ (* -1 (* a (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)> |
#<alt (/ (+ (* -1 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (pow c 2) (pow b 5))))))) (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)> |
#<alt (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)> |
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)> |
#<alt (/ (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a)> |
#<alt (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) a))> |
#<alt (* -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))) a))> |
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#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) 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 (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ (pow b 3) (* a (* (pow c 2) (pow (sqrt -4) 4)))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))))> |
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* a b) c))) a)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* a (pow b 3)) (pow c 2))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (/ (* a b) c))) a)))> |
#<alt (* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) c)> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) c)> |
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b c)) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (* a c)) (sqrt -1))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (pow b 3) c) a)) (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))> |
#<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 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3)))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))> |
#<alt (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (/ b (* a (* (pow c 2) (pow (sqrt -4) 4))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))> |
#<alt (* -2 (/ a b))> |
#<alt (/ (+ (* -2 a) (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)> |
#<alt (/ (+ (* -2 a) (+ (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 a) (+ (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (+ (* -2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3)))) (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2)))))) b)> |
#<alt (* -2 (/ a b))> |
#<alt (* -1 (/ (+ (* 2 a) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b))) b)) (* 2 a)) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* -1 (/ (+ (* 2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b))) (* 2 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b))) b)) (* 2 a)) b))> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -1 b)> |
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))> |
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))> |
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))> |
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))> |
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (/ -2 (pow b 2))> |
#<alt (/ -2 (pow b 2))> |
#<alt (/ -2 (pow b 2))> |
#<alt (/ -2 (pow b 2))> |
#<alt (/ -2 (pow b 2))> |
#<alt (/ -2 (pow b 2))> |
#<alt (/ -2 (pow b 2))> |
#<alt (/ -2 (pow b 2))> |
#<alt (/ -2 (pow b 2))> |
#<alt (/ -2 (pow b 2))> |
#<alt (/ -2 (pow b 2))> |
#<alt (/ -2 (pow b 2))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
162 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | c | @ | -inf | (* a (* (/ c b) 2)) |
| 3.0ms | c | @ | 0 | (* (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a) |
| 3.0ms | c | @ | 0 | (/ 1 (/ (* a 2) (- (sqrt (* -4 (* c a))) b))) |
| 1.0ms | a | @ | 0 | (/ 1 (/ (* a 2) (- (sqrt (* -4 (* c a))) b))) |
| 1.0ms | a | @ | -inf | (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
| 1× | batch-egg-rewrite |
| 1032× | *-lowering-*.f32 |
| 1032× | *-lowering-*.f64 |
| 932× | /-lowering-/.f32 |
| 932× | /-lowering-/.f64 |
| 286× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 199 |
| 1 | 210 | 190 |
| 0 | 1684 | 190 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a)) |
(* (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) a) |
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(/ c b) |
(/ (* a (* (/ c b) 2)) (* a 2)) |
(* a (* (/ c b) 2)) |
(* (/ c b) 2) |
(/ (* (+ 2 (* (* a c) (/ -2 (* b b)))) (- 0 b)) (* a 2)) |
(* (+ 2 (* (* a c) (/ -2 (* b b)))) (- 0 b)) |
(+ 2 (* (* a c) (/ -2 (* b b)))) |
(* (* a c) (/ -2 (* b b))) |
(/ 1 (/ (* a 2) (- (sqrt (* -4 (* c a))) b))) |
(/ (* a 2) (- (sqrt (* -4 (* c a))) b)) |
(* a 2) |
(- (sqrt (* -4 (* c a))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(* a (* c -4)) |
(/ -2 (* b b)) |
(sqrt (* -4 (* c a))) |
(* -4 (* c a)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
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(/.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64))) |
(sqrt.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) |
(pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal 1/2 binary64)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 c (*.f64 #s(literal -4 binary64) a)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(*.f64 (*.f64 c #s(literal -4 binary64)) a) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)))) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 (*.f64 #s(literal -4 binary64) a) c) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c))) |
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -2 binary64) b))) |
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 #s(literal -2 binary64) (*.f64 b b)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal -2 binary64) b) b) |
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) b)) (-.f64 #s(literal 0 binary64) b)) |
(pow.f64 (/.f64 (*.f64 b b) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) |
(*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(sqrt.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) |
(pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal 1/2 binary64)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 c (*.f64 #s(literal -4 binary64) a)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(*.f64 (*.f64 c #s(literal -4 binary64)) a) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)))) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 (*.f64 #s(literal -4 binary64) a) c) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c))) |
| 1× | egg-herbie |
| 6356× | *-lowering-*.f32 |
| 6356× | *-lowering-*.f64 |
| 3580× | +-lowering-+.f64 |
| 3580× | +-lowering-+.f32 |
| 1598× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1199 | 9247 |
| 1 | 4345 | 8948 |
| 0 | 8178 | 8948 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 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 (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 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 (/ b c)) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ a (pow b 2))) (/ 1 c))) |
(* b (- (+ (* -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))) (/ a (pow b 2)))) (/ 1 c))) |
(* -1 (/ a b)) |
(* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b)) |
(* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ a (+ (* -2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ b c)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (* a (+ (* -2 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b c)) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (* -2 (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (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)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a))) |
(* -1 (/ b c)) |
(/ (+ (* -1 b) (/ (* a c) b)) c) |
(/ (+ (* -1 b) (* c (+ (* -2 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (/ a b)))) c) |
(/ (+ (* -1 b) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))))) (/ a b)))) c) |
(* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c) |
(/ (+ (* -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))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) c) |
(/ (+ (* -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))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) c) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b 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))) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -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)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 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)))))))))) c))) c)) (* -1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2)))))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(* -1 (/ b (* a c))) |
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c)))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4)))))) |
(/ -1 b) |
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b)) |
(* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ b (* a c))) |
(/ (+ (* -1 (/ b c)) (/ a b)) a) |
(/ (+ (* -1 (/ b c)) (* a (+ (* -1 (* a (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a) |
(/ (+ (* -1 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (pow c 2) (pow b 5))))))) (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a) |
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a) |
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) a)) |
(* -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))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 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)))))))))) (+ (* -1/4 (* (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))) a)) |
(* -1 (/ b (* a c))) |
(/ (+ (* -1 (/ b a)) (/ c b)) c) |
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c) |
(/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c) |
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c) |
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* 2 (/ c b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* 2 (/ (* a c) b)) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -2 (/ (* a c) (pow b 2))) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(* -1/2 (/ b a)) |
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ (pow b 3) (* a (* (pow c 2) (pow (sqrt -4) 4)))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* a b) c))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* a (pow b 3)) (pow c 2))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (/ (* a b) c))) a))) |
(* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ a (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 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 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) c) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) c) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b c)) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (pow b 3) c) a)) (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* 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 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3)))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (/ b (* a (* (pow c 2) (pow (sqrt -4) 4))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(* -2 (/ a b)) |
(/ (+ (* -2 a) (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b) |
(/ (+ (* -2 a) (+ (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))))) b) |
(/ (+ (* -2 a) (+ (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (+ (* -2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3)))) (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2)))))) b) |
(* -2 (/ a b)) |
(* -1 (/ (+ (* 2 a) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b))) b)) (* 2 a)) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* -1 (/ (+ (* 2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b))) (* 2 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b))) b)) (* 2 a)) b)) |
(* 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) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(/ -2 (pow b 2)) |
(/ -2 (pow b 2)) |
(/ -2 (pow b 2)) |
(/ -2 (pow b 2)) |
(/ -2 (pow b 2)) |
(/ -2 (pow b 2)) |
(/ -2 (pow b 2)) |
(/ -2 (pow b 2)) |
(/ -2 (pow b 2)) |
(/ -2 (pow b 2)) |
(/ -2 (pow b 2)) |
(/ -2 (pow b 2)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
| Outputs |
|---|
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) c) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) a))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) b) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) b)) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a 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)))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
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#s(literal 2 binary64) |
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#s(literal 2 binary64) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
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(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
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(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
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b |
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(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
Compiled 21970 to 2687 computations (87.8% saved)
46 alts after pruning (40 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1070 | 17 | 1087 |
| Fresh | 9 | 23 | 32 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1081 | 46 | 1127 |
| Status | Accuracy | Program |
|---|---|---|
| 29.9% | (/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b b)) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) | |
| 21.5% | (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) b)) (*.f64 a #s(literal 2 binary64))) | |
| 14.7% | (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 23.2% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) | |
| 34.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) | |
| 25.5% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) | |
| 23.0% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) | |
| 24.7% | (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c))) | |
| 51.3% | (/.f64 (-.f64 (/.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) (*.f64 a #s(literal 2 binary64))) | |
| 31.4% | (/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) | |
| ✓ | 52.9% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| 35.0% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 27.1% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) | |
| 32.4% | (/.f64 (-.f64 #s(literal 0 binary64) c) b) | |
| 9.3% | (/.f64 (+.f64 (fma.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) c) (neg.f64 (*.f64 (/.f64 c b) (/.f64 (*.f64 a c) b)))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 a c) b) (*.f64 (/.f64 c b) (/.f64 (*.f64 a c) b)))) b) | |
| 35.6% | (/.f64 (+.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 2 binary64))) | |
| 33.9% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) | |
| 34.0% | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 (/.f64 #s(literal -2 binary64) b) b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) | |
| ✓ | 34.0% | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
| 9.0% | (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 1 binary64))) a) | |
| ✓ | 9.0% | (/.f64 c b) |
| ✓ | 35.7% | (/.f64 b (neg.f64 a)) |
| 30.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c)) | |
| 19.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b))) | |
| ✓ | 35.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
| 33.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) b) a)))) | |
| 9.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 c b) #s(literal 1 binary64))))) | |
| 33.0% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) | |
| 31.0% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))))) (/.f64 b c))) | |
| 32.2% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) | |
| 25.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c) a)) | |
| 34.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) a)) | |
| 35.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)) | |
| 23.7% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal -1 binary64) a) c))) a)) | |
| 32.1% | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c)))) | |
| 35.7% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 8.9% | (*.f64 (/.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) a)) | |
| 33.9% | (*.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) | |
| 27.7% | (*.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) a)) | |
| 3.6% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) | |
| 9.7% | (*.f64 (/.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) a) a) | |
| 9.0% | (*.f64 (/.f64 #s(literal 1 binary64) b) c) | |
| 34.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) | |
| ✓ | 35.6% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| 18.6% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))) b) | |
| 15.4% | (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) |
Compiled 2091 to 867 computations (58.5% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (-.f64 #s(literal 0 binary64) c) b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) a) a) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 1 binary64))) a) |
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
(*.f64 (/.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 c b) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c)) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 a (*.f64 c c)) (neg.f64 (*.f64 b (*.f64 b b)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) |
(/.f64 (-.f64 (neg.f64 c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(/.f64 (+.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal -1 binary64) a) c))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 (/.f64 #s(literal -2 binary64) b) b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) b) a)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c c) b) (*.f64 c (/.f64 (*.f64 a (*.f64 c c)) b))) (*.f64 c b)) b) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))))) (/.f64 b c))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b)))))))) c)) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b #s(literal -2 binary64)) a)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 a c) b) (/.f64 c b) c) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))) |
(/.f64 (-.f64 (/.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) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b b)) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) |
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))))) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b))) |
(/.f64 (+.f64 (fma.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) c) (neg.f64 (*.f64 (/.f64 c b) (/.f64 (*.f64 a c) b)))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 a c) b) (*.f64 (/.f64 c b) (/.f64 (*.f64 a c) b)))) b) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
4 calls:
| 22.0ms | a |
| 22.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 22.0ms | b |
| 21.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 2 | a |
| 86.2% | 3 | b |
| 57.6% | 3 | c |
| 75.1% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (-.f64 #s(literal 0 binary64) c) b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) a) a) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 1 binary64))) a) |
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
(*.f64 (/.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 c b) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c)) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 a (*.f64 c c)) (neg.f64 (*.f64 b (*.f64 b b)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) |
(/.f64 (-.f64 (neg.f64 c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(/.f64 (+.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal -1 binary64) a) c))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 (/.f64 #s(literal -2 binary64) b) b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) b) a)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c c) b) (*.f64 c (/.f64 (*.f64 a (*.f64 c c)) b))) (*.f64 c b)) b) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))))) (/.f64 b c))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b)))))))) c)) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b #s(literal -2 binary64)) a)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 a c) b) (/.f64 c b) c) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
1 calls:
| 19.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (-.f64 #s(literal 0 binary64) c) b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) a) a) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 1 binary64))) a) |
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
(*.f64 (/.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 c b) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c)) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 a (*.f64 c c)) (neg.f64 (*.f64 b (*.f64 b b)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) |
(/.f64 (-.f64 (neg.f64 c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(/.f64 (+.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal -1 binary64) a) c))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 (/.f64 #s(literal -2 binary64) b) b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) b) a)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c c) b) (*.f64 c (/.f64 (*.f64 a (*.f64 c c)) b))) (*.f64 c b)) b) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))))) (/.f64 b c))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b)))))))) c)) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b #s(literal -2 binary64)) a)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 a c) b) (/.f64 c b) c) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
1 calls:
| 18.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (-.f64 #s(literal 0 binary64) c) b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) a) a) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 1 binary64))) a) |
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
(*.f64 (/.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 c b) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c)) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 a (*.f64 c c)) (neg.f64 (*.f64 b (*.f64 b b)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) |
(/.f64 (-.f64 (neg.f64 c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(/.f64 (+.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal -1 binary64) a) c))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 (/.f64 #s(literal -2 binary64) b) b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) b) a)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c c) b) (*.f64 c (/.f64 (*.f64 a (*.f64 c c)) b))) (*.f64 c b)) b) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))))) (/.f64 b c))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b)))))))) c)) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b #s(literal -2 binary64)) a)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 a c) b) (/.f64 c b) c) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
1 calls:
| 16.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (-.f64 #s(literal 0 binary64) c) b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) a) a) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 1 binary64))) a) |
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
(*.f64 (/.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 c b) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c)) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 a (*.f64 c c)) (neg.f64 (*.f64 b (*.f64 b b)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) |
(/.f64 (-.f64 (neg.f64 c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(/.f64 (+.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal -1 binary64) a) c))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 (/.f64 #s(literal -2 binary64) b) b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) b) a)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c c) b) (*.f64 c (/.f64 (*.f64 a (*.f64 c c)) b))) (*.f64 c b)) b) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))))) (/.f64 b c))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b)))))))) c)) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b #s(literal -2 binary64)) a)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (-.f64 #s(literal 0 binary64) c) b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) a) a) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 1 binary64))) a) |
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
(*.f64 (/.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 c b) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) c)) |
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c))) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 a (*.f64 c c)) (neg.f64 (*.f64 b (*.f64 b b)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) |
(/.f64 (-.f64 (neg.f64 c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(/.f64 (+.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 a (*.f64 (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(*.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 c (/.f64 a (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal -1 binary64) a) c))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 c a))))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 a c) (/.f64 (/.f64 #s(literal -2 binary64) b) b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) b) a)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c c) b) (*.f64 c (/.f64 (*.f64 a (*.f64 c c)) b))) (*.f64 c b)) b) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (+.f64 (/.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))))) (/.f64 b c))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b (*.f64 b b)))))))) c)) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b #s(literal -2 binary64)) a)) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b)))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 a (*.f64 c #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) (*.f64 b b))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal -2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 a c) (/.f64 (*.f64 b b) #s(literal -2 binary64)))) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (-.f64 #s(literal 0 binary64) c) b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 (*.f64 (/.f64 c b) #s(literal 1 binary64)) a) a) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (-.f64 #s(literal 0 binary64) c) b) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(/.f64 c b) |
3 calls:
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.7% | 1 | a |
| 35.7% | 1 | c |
| 41.8% | 2 | b |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 c b) |
| Outputs |
|---|
(/.f64 c b) |
3 calls:
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.0% | 1 | c |
| 9.0% | 1 | a |
| 9.0% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 1.7620334009056426e-41 | 2.3084947304993612e-30 |
| 11.0ms | -9.199480099021047e+97 | -2.4022769890615185e+91 |
| 18.0ms | 53× | 2 | valid |
| 14.0ms | 152× | 0 | valid |
| 7.0ms | 35× | 1 | valid |
| 4.0ms | 39× | 0 | invalid |
Compiled 471 to 344 computations (27% saved)
ival-mult: 12.0ms (41.1% of total)backward-pass: 4.0ms (13.7% of total)ival-div: 3.0ms (10.3% of total)ival-sqrt: 3.0ms (10.3% of total)ival-sub: 2.0ms (6.8% of total)ival-neg: 2.0ms (6.8% of total)ival-add: 2.0ms (6.8% of total)const: 1.0ms (3.4% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 67.0ms | 1.7620334009056426e-41 | 2.3084947304993612e-30 |
| 22.0ms | -9.199480099021047e+97 | -2.4022769890615185e+91 |
| 25.0ms | 180× | 0 | valid |
| 21.0ms | 44× | 1 | valid |
| 20.0ms | 48× | 2 | valid |
| 7.0ms | 53× | 0 | invalid |
Compiled 512 to 369 computations (27.9% saved)
ival-mult: 23.0ms (46.8% of total)ival-sqrt: 5.0ms (10.2% of total)ival-div: 5.0ms (10.2% of total)ival-sub: 4.0ms (8.1% of total)ival-neg: 4.0ms (8.1% of total)ival-add: 4.0ms (8.1% of total)backward-pass: 3.0ms (6.1% of total)const: 1.0ms (2% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 1.7620334009056426e-41 | 2.3084947304993612e-30 |
| 17.0ms | -1.455290616197011e+89 | -3.2515627475857268e+87 |
| 18.0ms | 175× | 0 | valid |
| 16.0ms | 49× | 2 | valid |
| 11.0ms | 48× | 1 | valid |
| 3.0ms | 37× | 0 | invalid |
Compiled 512 to 369 computations (27.9% saved)
ival-mult: 14.0ms (42.1% of total)ival-sqrt: 4.0ms (12% of total)ival-div: 4.0ms (12% of total)ival-sub: 4.0ms (12% of total)ival-neg: 3.0ms (9% of total)ival-add: 3.0ms (9% of total)backward-pass: 2.0ms (6% of total)const: 1.0ms (3% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 6.934682425224972e-87 | 1.0253775180779548e-86 |
| 25.0ms | -9.994390991537696e-52 | -3.628366572364299e-62 |
| 20.0ms | 200× | 0 | valid |
| 4.0ms | 45× | 0 | invalid |
| 3.0ms | 16× | 1 | valid |
| 2.0ms | 8× | 2 | valid |
Compiled 396 to 285 computations (28% saved)
ival-mult: 8.0ms (39.7% of total)ival-neg: 3.0ms (14.9% of total)ival-div: 2.0ms (9.9% of total)ival-sqrt: 2.0ms (9.9% of total)ival-add: 2.0ms (9.9% of total)ival-sub: 1.0ms (5% of total)backward-pass: 1.0ms (5% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 6.934682425224972e-87 | 1.0253775180779548e-86 |
| 27.0ms | -9.994390991537696e-52 | -3.628366572364299e-62 |
| 21.0ms | 194× | 0 | valid |
| 5.0ms | 61× | 0 | invalid |
| 4.0ms | 20× | 1 | valid |
| 3.0ms | 10× | 2 | valid |
Compiled 396 to 285 computations (28% saved)
ival-mult: 9.0ms (41.1% of total)ival-sub: 4.0ms (18.3% of total)ival-div: 2.0ms (9.1% of total)ival-neg: 2.0ms (9.1% of total)ival-sqrt: 2.0ms (9.1% of total)ival-add: 2.0ms (9.1% of total)backward-pass: 1.0ms (4.6% of total)const: 1.0ms (4.6% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | -7.882079452785216e-280 | -5.9764398474371765e-289 |
| 13.0ms | 144× | 0 | valid |
| 6.0ms | 70× | 0 | invalid |
Compiled 242 to 163 computations (32.6% saved)
ival-mult: 6.0ms (48.3% of total)ival-sqrt: 2.0ms (16.1% of total)ival-sub: 1.0ms (8% of total)ival-div: 1.0ms (8% of total)ival-add: 1.0ms (8% of total)ival-neg: 1.0ms (8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | -5.624456196992303e-292 | 1.687488448935003e-305 |
| 16.0ms | 176× | 0 | valid |
| 8.0ms | 77× | 0 | invalid |
Compiled 246 to 173 computations (29.7% saved)
ival-mult: 7.0ms (46.9% of total)ival-div: 2.0ms (13.4% of total)ival-sqrt: 2.0ms (13.4% of total)ival-sub: 1.0ms (6.7% of total)ival-add: 1.0ms (6.7% of total)ival-neg: 1.0ms (6.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | -5.624456196992303e-292 | 1.687488448935003e-305 |
| 16.0ms | 176× | 0 | valid |
| 6.0ms | 71× | 0 | invalid |
Compiled 213 to 162 computations (23.9% saved)
ival-mult: 7.0ms (47.9% of total)ival-div: 2.0ms (13.7% of total)ival-sqrt: 2.0ms (13.7% of total)ival-sub: 1.0ms (6.8% of total)ival-add: 1.0ms (6.8% of total)ival-neg: 1.0ms (6.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 1.4659147156506562e-19 | 0.0031314499537679493 |
| 14.0ms | 48× | 2 | valid |
| 7.0ms | 38× | 1 | valid |
| 7.0ms | 74× | 0 | valid |
| 3.0ms | 34× | 0 | invalid |
Compiled 176 to 129 computations (26.7% saved)
ival-mult: 9.0ms (42.6% of total)ival-sqrt: 3.0ms (14.2% of total)ival-div: 2.0ms (9.5% of total)backward-pass: 2.0ms (9.5% of total)ival-sub: 2.0ms (9.5% of total)ival-neg: 2.0ms (9.5% of total)ival-add: 2.0ms (9.5% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 44× | *-commutative_binary64 |
| 42× | +-commutative_binary64 |
| 38× | sub-neg_binary64 |
| 22× | neg-mul-1_binary64 |
| 20× | neg-sub0_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 220 |
| 1 | 131 | 219 |
| 2 | 176 | 219 |
| 3 | 199 | 219 |
| 4 | 210 | 219 |
| 5 | 213 | 219 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 2746232009231673/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 7650217740002517/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -130000000000000003558409503217468803010446995368891266294485555652966300591655081780183040 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -1725436586697641/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 8175068308948985/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -6643344963566725/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 7839106597622315/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -3291674441276213/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (<=.f64 b #s(literal 4085202129641755/1237940039285380274899124224 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c b)) |
(/.f64 c b) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 2746232009231673/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (if (<=.f64 b #s(literal 2746232009231673/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) c) b))) |
(if (<=.f64 b #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 7650217740002517/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (if (<=.f64 b #s(literal 7650217740002517/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) c) b))) |
(if (<=.f64 b #s(literal -130000000000000003558409503217468803010446995368891266294485555652966300591655081780183040 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -130000000000000003558409503217468803010446995368891266294485555652966300591655081780183040 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (/.f64 (-.f64 #s(literal 0 binary64) c) b))) |
(if (<=.f64 b #s(literal -1725436586697641/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 8175068308948985/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -1725436586697641/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 8175068308948985/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) c) b))) |
(if (<=.f64 b #s(literal -6643344963566725/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 7839106597622315/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -6643344963566725/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 7839106597622315/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) (/.f64 (-.f64 #s(literal 0 binary64) c) b))) |
(if (<=.f64 b #s(literal -3291674441276213/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (-.f64 #s(literal 0 binary64) c) b)) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (-.f64 #s(literal 0 binary64) c) b)) |
(if (<=.f64 b #s(literal 4085202129641755/1237940039285380274899124224 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c b)) |
(if (<=.f64 b #s(literal 4085202129641755/1237940039285380274899124224 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 c b)) |
(/.f64 c b) |
| 7910× | *-lowering-*.f32 |
| 7910× | *-lowering-*.f64 |
| 7834× | *-lowering-*.f32 |
| 7834× | *-lowering-*.f64 |
| 5892× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 16 |
| 1 | 33 | 15 |
| 2 | 72 | 15 |
| 3 | 171 | 15 |
| 4 | 296 | 15 |
| 5 | 528 | 15 |
| 6 | 1046 | 15 |
| 7 | 2242 | 15 |
| 8 | 5162 | 15 |
| 9 | 7732 | 15 |
| 0 | 8148 | 15 |
| 0 | 919 | 9281 |
| 1 | 3282 | 9018 |
| 0 | 9022 | 9018 |
| 0 | 895 | 7465 |
| 1 | 3188 | 7329 |
| 0 | 8616 | 7329 |
| 0 | 22 | 90 |
| 1 | 127 | 86 |
| 2 | 1108 | 86 |
| 0 | 8817 | 86 |
| 0 | 555 | 6142 |
| 1 | 1920 | 5982 |
| 2 | 7203 | 5982 |
| 0 | 8075 | 5982 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 634 to 372 computations (41.3% saved)
Compiled 508 to 204 computations (59.8% saved)
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