
Time bar (total: 12.1s)
| 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: 63.0ms (52.3% of total)ival-sqrt: 21.0ms (17.4% of total)ival-sub: 15.0ms (12.4% of total)ival-neg: 11.0ms (9.1% of total)ival-div: 8.0ms (6.6% of total)const: 2.0ms (1.7% of total)backward-pass: 1.0ms (0.8% of total)| 586.0ms | 1942× | 2 | valid |
| 562.0ms | 5532× | 0 | valid |
| 171.0ms | 782× | 1 | valid |
| 99.0ms | 906× | 0 | invalid |
ival-mult: 387.0ms (39.6% of total)ival-sub: 146.0ms (15% of total)ival-sqrt: 124.0ms (12.7% of total)ival-neg: 122.0ms (12.5% of total)ival-div: 113.0ms (11.6% of total)backward-pass: 65.0ms (6.7% of total)const: 20.0ms (2% of total)| 2× | egg-herbie |
| 2518× | fnmadd-define |
| 1718× | fmsub-define |
| 1692× | fnmsub-define |
| 1418× | fmm-def |
| 1228× | fma-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 165 |
| 1 | 215 | 158 |
| 2 | 663 | 154 |
| 3 | 2342 | 150 |
| 4 | 6971 | 150 |
| 0 | 14 | 16 |
| 1 | 38 | 16 |
| 2 | 100 | 16 |
| 3 | 269 | 15 |
| 4 | 493 | 15 |
| 5 | 1002 | 15 |
| 6 | 3154 | 15 |
| 7 | 5807 | 15 |
| 8 | 6441 | 15 |
| 9 | 7371 | 15 |
| 10 | 7536 | 15 |
| 11 | 7576 | 15 |
| 12 | 7582 | 15 |
| 0 | 7582 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
| Outputs |
|---|
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
| Inputs |
|---|
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))) |
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)) |
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)) |
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))) |
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))) |
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))) |
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b)) |
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c)) |
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a)) |
| Outputs |
|---|
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
(/ (+ b (sqrt (fma a (* c -4) (* b b)))) (* a -2)) |
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))) |
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a 2)) |
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)) |
(/ (- b (sqrt (fma a (* c -4) (* b b)))) (* a 2)) |
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)) |
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a -2)) |
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))) |
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a -2)) |
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))) |
(/ (- b (sqrt (fma a (* c -4) (* b b)))) (* a -2)) |
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))) |
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a 2)) |
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b)) |
(/ (+ a (sqrt (fmsub a a (* b (* 4 c))))) (* b -2)) |
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c)) |
(/ (+ b (sqrt (fma a (* c -4) (* b b)))) (* c -2)) |
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a)) |
(/ (+ c (sqrt (fmsub c c (* b (* 4 a))))) (* a -2)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 97 | 0 | - | 1 | (3.1204693988934642e-211 -1.3911748797023757e-161 6.532949878543296e-158) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 58 | 1 | (1.9406272212764964e-72 -2.6065118431724264e+58 -2.673262893929611e-194) | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 8 | 0 | - | 1 | (1.9406272212764964e-72 -2.6065118431724264e+58 -2.673262893929611e-194) | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 5 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 1 | (-3.883557828699035e-219 3.970271077005316e+287 2.72750810175089e-106) | 0 | - | (*.f64 #s(literal 4 binary64) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | a |
| 77.0ms | 104× | 2 | valid |
| 48.0ms | 364× | 0 | valid |
| 12.0ms | 44× | 1 | valid |
Compiled 168 to 44 computations (73.8% saved)
ival-mult: 24.0ms (34.9% of total)ival-sub: 21.0ms (30.5% of total)ival-sqrt: 7.0ms (10.2% of total)ival-div: 6.0ms (8.7% of total)backward-pass: 6.0ms (8.7% of total)ival-neg: 5.0ms (7.3% of total)const: 1.0ms (1.5% of total)Compiled 19 to 13 computations (31.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.8% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
| 30× | *-lowering-*.f32 |
| 30× | *-lowering-*.f64 |
| 14× | fma-lowering-fma.f32 |
| 14× | fma-define |
| 14× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 72 |
| 1 | 22 | 72 |
| 2 | 35 | 72 |
| 3 | 41 | 72 |
| 0 | 41 | 72 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
b |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
-2 |
| Outputs |
|---|
(/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
b |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* c (* a -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
-2 |
#s(literal -2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 97.1% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
| ✓ | accuracy | 78.5% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | accuracy | 64.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| 28.0ms | 52× | 2 | valid |
| 25.0ms | 182× | 0 | valid |
| 5.0ms | 22× | 1 | valid |
Compiled 81 to 14 computations (82.7% saved)
ival-add: 12.0ms (37.1% of total)ival-mult: 8.0ms (24.7% of total)ival-div: 5.0ms (15.5% of total)ival-sqrt: 3.0ms (9.3% of total)backward-pass: 3.0ms (9.3% of total)const: 1.0ms (3.1% of total)| Inputs |
|---|
#<alt (/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a)> |
#<alt (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2)> |
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))> |
#<alt (sqrt (+ (* b b) (* c (* a -4))))> |
#<alt (+ (* b b) (* c (* a -4)))> |
| Outputs |
|---|
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2)))> |
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2)))> |
#<alt (* -1 b)> |
#<alt (* b (- (/ (* a c) (pow b 2)) 1))> |
#<alt (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1))> |
#<alt (* -1 (/ (* a c) b))> |
#<alt (* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 b)> |
#<alt (+ (* -1 b) (/ (* a c) b))> |
#<alt (+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) c)))))> |
#<alt (* -1 b)> |
#<alt (+ (* -1 b) (/ (* a c) b))> |
#<alt (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))> |
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))))> |
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))))> |
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 b)> |
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt (* -4 (* a c))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | (+ b (sqrt (+ (* b b) (* c (* a -4))))) |
| 1.0ms | c | @ | inf | (/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
| 1.0ms | b | @ | 0 | (/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
| 1.0ms | b | @ | inf | (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) |
| 1.0ms | c | @ | -inf | (/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
| 1× | batch-egg-rewrite |
| 4062× | *-lowering-*.f32 |
| 4062× | *-lowering-*.f64 |
| 2558× | /-lowering-/.f32 |
| 2558× | /-lowering-/.f64 |
| 2020× | sum3-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 56 |
| 1 | 66 | 56 |
| 2 | 540 | 56 |
| 3 | 6544 | 56 |
| 0 | 8057 | 56 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) |
(+ b (sqrt (+ (* b b) (* c (* a -4))))) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))))) |
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal 2 binary64)))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (neg.f64 (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) a))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) a)) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))))) |
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(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) (-.f64 (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a))))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| 1× | egg-herbie |
| 6468× | *-lowering-*.f32 |
| 6468× | *-lowering-*.f64 |
| 3498× | +-lowering-+.f64 |
| 3498× | +-lowering-+.f32 |
| 1822× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 610 | 3728 |
| 1 | 2115 | 3618 |
| 2 | 7557 | 3606 |
| 0 | 8211 | 3606 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4)))) |
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2))) |
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2))) |
(* -1 b) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1)) |
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 b) |
(+ (* -1 b) (/ (* a c) b)) |
(+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))) |
(+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b)))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c)))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) c))))) |
(* -1 b) |
(+ (* -1 b) (/ (* a c) b)) |
(+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) |
(+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))) |
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) |
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
| Outputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
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(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
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(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
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(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
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(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
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(/.f64 b (neg.f64 a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (-.f64 (*.f64 c (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))) b) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
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(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
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(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
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(*.f64 #s(literal -1/2 binary64) (+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
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(* b (- (/ (* a c) (pow b 2)) 1)) |
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(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1)) |
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(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)) |
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(* (sqrt (* a c)) (sqrt -1)) |
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(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))) (*.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 b (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))))) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+.f64 b (*.f64 c (+.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(+.f64 b (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))))))) (neg.f64 a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) b) b)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) b) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) b) b)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) |
Compiled 21695 to 2253 computations (89.6% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 19 | 583 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 565 | 19 | 584 |
| Status | Accuracy | Program |
|---|---|---|
| 18.4% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) | |
| 25.3% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a) | |
| 57.3% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) | |
| ▶ | 10.3% | (/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
| 36.4% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) #s(literal -2 binary64)) a) | |
| 30.0% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) | |
| 43.1% | (/.f64 (/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) #s(literal -2 binary64)) a) | |
| 57.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) | |
| 21.9% | (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))) | |
| 28.4% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a) | |
| 41.7% | (/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a) | |
| ▶ | 43.1% | (/.f64 b (neg.f64 a)) |
| ▶ | 57.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
| 57.7% | (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) a)) | |
| 43.2% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 40.2% | (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a)) | |
| 31.1% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| ▶ | 57.7% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| ▶ | 42.6% | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
Compiled 808 to 456 computations (43.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
| ✓ | cost-diff | 0 | (*.f64 a #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
| ✓ | cost-diff | 384 | (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) |
| ✓ | cost-diff | 640 | (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) |
| ✓ | cost-diff | 640 | (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) |
| ✓ | cost-diff | 640 | (/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (/.f64 c (*.f64 b b)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | cost-diff | 256 | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
| ✓ | cost-diff | -64 | (neg.f64 a) |
| ✓ | cost-diff | -64 | (/.f64 b (neg.f64 a)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| 2236× | *-lowering-*.f32 |
| 2236× | *-lowering-*.f64 |
| 1678× | fma-define |
| 1670× | sum4-define |
| 1320× | fma-lowering-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 294 |
| 1 | 93 | 286 |
| 2 | 248 | 283 |
| 3 | 701 | 257 |
| 4 | 2742 | 256 |
| 5 | 7911 | 256 |
| 0 | 8635 | 256 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))) |
(/ -1/2 a) |
-1/2 |
a |
(+ b (sqrt (+ (* b b) (* -4 (* c a))))) |
b |
(sqrt (+ (* b b) (* -4 (* c a)))) |
(+ (* b b) (* -4 (* c a))) |
(* b b) |
(* -4 (* c a)) |
-4 |
(* c a) |
c |
(/ b (neg a)) |
b |
(neg a) |
a |
(* b (+ (/ c (* b b)) (/ -1 a))) |
b |
(+ (/ c (* b b)) (/ -1 a)) |
(/ c (* b b)) |
c |
(* b b) |
(/ -1 a) |
-1 |
a |
(/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a) |
(/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) |
(+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) |
b |
(* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b))) |
(- 0 b) |
0 |
(+ 1 (/ (* (* a (/ c b)) -2) b)) |
1 |
(/ (* (* a (/ c b)) -2) b) |
(* (* a (/ c b)) -2) |
(* a (/ c b)) |
a |
(/ c b) |
c |
-2 |
(/ 1 (/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))) |
1 |
(/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))) |
(* a -2) |
a |
-2 |
(+ b (sqrt (+ (* b b) (* -4 (* c a))))) |
b |
(sqrt (+ (* b b) (* -4 (* c a)))) |
(+ (* b b) (* -4 (* c a))) |
(* b b) |
(* -4 (* c a)) |
-4 |
(* c a) |
c |
| Outputs |
|---|
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a #s(literal -2 binary64))) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
-1/2 |
#s(literal -1/2 binary64) |
a |
(+ b (sqrt (+ (* b b) (* -4 (* c a))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) |
b |
(sqrt (+ (* b b) (* -4 (* c a)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
(+ (* b b) (* -4 (* c a))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(* b b) |
(*.f64 b b) |
(* -4 (* c a)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
-4 |
#s(literal -4 binary64) |
(* c a) |
(*.f64 a c) |
c |
(/ b (neg a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
b |
(neg a) |
(-.f64 #s(literal 0 binary64) a) |
a |
(* b (+ (/ c (* b b)) (/ -1 a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
b |
(+ (/ c (* b b)) (/ -1 a)) |
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
(/ c (* b b)) |
(/.f64 c (*.f64 b b)) |
c |
(* b b) |
(*.f64 b b) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
-1 |
#s(literal -1 binary64) |
a |
(/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) (*.f64 a #s(literal -2 binary64))) |
(/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) |
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) |
(*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) |
b |
(* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b))) |
(-.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b) |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
0 |
#s(literal 0 binary64) |
(+ 1 (/ (* (* a (/ c b)) -2) b)) |
(+.f64 #s(literal 1 binary64) (*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) b))) |
1 |
#s(literal 1 binary64) |
(/ (* (* a (/ c b)) -2) b) |
(*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)) |
(* (* a (/ c b)) -2) |
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)) |
(* a (/ c b)) |
(/.f64 (*.f64 a c) b) |
a |
(/ c b) |
(/.f64 c b) |
c |
-2 |
#s(literal -2 binary64) |
(/ 1 (/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a #s(literal -2 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))) |
(/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) |
(* a -2) |
(*.f64 a #s(literal -2 binary64)) |
a |
-2 |
#s(literal -2 binary64) |
(+ b (sqrt (+ (* b b) (* -4 (* c a))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) |
b |
(sqrt (+ (* b b) (* -4 (* c a)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
(+ (* b b) (* -4 (* c a))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(* b b) |
(*.f64 b b) |
(* -4 (* c a)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
-4 |
#s(literal -4 binary64) |
(* c a) |
(*.f64 a c) |
c |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
| ✓ | accuracy | 97.3% | (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| ✓ | accuracy | 78.5% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
| ✓ | accuracy | 64.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
| ✓ | accuracy | 94.4% | (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) |
| ✓ | accuracy | 92.6% | (*.f64 a (/.f64 c b)) |
| ✓ | accuracy | 83.0% | (/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
| ✓ | accuracy | 53.3% | (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | accuracy | 92.7% | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
| ✓ | accuracy | 90.4% | (/.f64 c (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (/.f64 b (neg.f64 a)) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 98.4% | (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
| ✓ | accuracy | 97.0% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| ✓ | accuracy | 78.5% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) |
| ✓ | accuracy | 64.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) |
| 107.0ms | 84× | 2 | valid |
| 80.0ms | 78× | 0 | valid |
| 71.0ms | 94× | 1 | valid |
Compiled 314 to 37 computations (88.2% saved)
ival-div: 61.0ms (43.9% of total)ival-mult: 30.0ms (21.6% of total)backward-pass: 18.0ms (13% of total)ival-add: 14.0ms (10.1% of total)ival-sub: 8.0ms (5.8% of total)ival-sqrt: 4.0ms (2.9% of total)const: 2.0ms (1.4% of total)ival-neg: 2.0ms (1.4% of total)| Inputs |
|---|
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))> |
#<alt (/ -1/2 a)> |
#<alt (+ b (sqrt (+ (* b b) (* -4 (* c a)))))> |
#<alt (sqrt (+ (* b b) (* -4 (* c a))))> |
#<alt (/ b (neg a))> |
#<alt (neg a)> |
#<alt (* b (+ (/ c (* b b)) (/ -1 a)))> |
#<alt (+ (/ c (* b b)) (/ -1 a))> |
#<alt (/ c (* b b))> |
#<alt (* b b)> |
#<alt (/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a)> |
#<alt (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2)> |
#<alt (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b))))> |
#<alt (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))> |
#<alt (/ 1 (/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))))> |
#<alt (/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))> |
#<alt (* a -2)> |
#<alt (+ (* b b) (* -4 (* c a)))> |
#<alt (* a (/ c b))> |
| Outputs |
|---|
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
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#<alt (/ -1/2 a)> |
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#<alt (* 2 b)> |
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#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))> |
#<alt (* 2 b)> |
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#<alt b> |
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#<alt b> |
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#<alt (/ c b)> |
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#<alt (* -1 (* c (+ (* 1/2 (/ (+ b (* -1 b)) c)) (/ a b))))> |
#<alt (* -1 (* c (+ (* 1/2 (/ (+ b (* -1 b)) c)) (/ a b))))> |
#<alt (* -1 (* c (+ (* 1/2 (/ (+ b (* -1 b)) c)) (/ a b))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (+ b (* -1 b))> |
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))> |
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))> |
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))> |
#<alt (* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))> |
#<alt (* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))> |
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))> |
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))> |
#<alt (+ b (* -1 b))> |
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))> |
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))> |
#<alt (+ b (+ (* -1 b) (* 2 (/ (* a c) b))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))> |
#<alt (* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))> |
#<alt (* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))> |
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))> |
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)> |
#<alt (/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)> |
#<alt (/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)> |
#<alt (* -1 b)> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 1))> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 1))> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 1))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 b)> |
#<alt (+ (* -1 b) (* 2 (/ (* a c) b)))> |
#<alt (+ (* -1 b) (* 2 (/ (* a c) b)))> |
#<alt (+ (* -1 b) (* 2 (/ (* a c) b)))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))> |
#<alt (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))> |
#<alt (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* -1 (* a (+ (* -2 (/ c b)) (/ b a))))> |
#<alt (* -1 (* a (+ (* -2 (/ c b)) (/ b a))))> |
#<alt (* -1 (* a (+ (* -2 (/ c b)) (/ b a))))> |
#<alt (* -1 b)> |
#<alt (+ (* -1 b) (* 2 (/ (* a c) b)))> |
#<alt (+ (* -1 b) (* 2 (/ (* a c) b)))> |
#<alt (+ (* -1 b) (* 2 (/ (* a c) b)))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))> |
#<alt (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))> |
#<alt (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* -1 (* c (+ (* -2 (/ a b)) (/ b c))))> |
#<alt (* -1 (* c (+ (* -2 (/ a b)) (/ b c))))> |
#<alt (* -1 (* c (+ (* -2 (/ a b)) (/ b c))))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1 (/ a b))> |
#<alt (* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b)))> |
#<alt (* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))))))) (/ 1 b)))> |
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ a c)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))> |
#<alt (* -1 (/ a b))> |
#<alt (/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b)> |
#<alt (* -1 (/ b c))> |
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c))))))> |
#<alt (* -1 (/ a b))> |
#<alt (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))> |
#<alt (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))> |
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)> |
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) c)> |
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))) c)> |
#<alt (* (sqrt (/ a c)) (sqrt -1))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c))) c))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (* b c))) c))) c))> |
#<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 (* -4 (* a c))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (/ (* 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)> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | 0 | (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) |
| 3.0ms | c | @ | inf | (/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))) |
| 3.0ms | a | @ | 0 | (/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a) |
| 2.0ms | b | @ | inf | (/ b (neg a)) |
| 2.0ms | b | @ | 0 | (/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a) |
| 1× | batch-egg-rewrite |
| 2812× | /-lowering-/.f32 |
| 2812× | /-lowering-/.f64 |
| 2462× | *-lowering-*.f32 |
| 2462× | *-lowering-*.f64 |
| 2252× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 186 |
| 1 | 227 | 174 |
| 2 | 2389 | 171 |
| 0 | 8592 | 171 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))) |
(/ -1/2 a) |
(+ b (sqrt (+ (* b b) (* -4 (* c a))))) |
(sqrt (+ (* b b) (* -4 (* c a)))) |
(/ b (neg a)) |
(neg a) |
(* b (+ (/ c (* b b)) (/ -1 a))) |
(+ (/ c (* b b)) (/ -1 a)) |
(/ c (* b b)) |
(* b b) |
(/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a) |
(/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) |
(+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) |
(* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b))) |
(/ 1 (/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))) |
(/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))) |
(* a -2) |
(+ (* b b) (* -4 (* c a))) |
(* a (/ c b)) |
| Outputs |
|---|
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 a (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (*.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)))))) a)) |
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.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 -1/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (*.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 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (neg.f64 (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.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 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 1 binary64)) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) a)) (-.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 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))))) (neg.f64 (*.f64 a (-.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 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (neg.f64 (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.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 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) #s(literal -1/2 binary64))) (neg.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)))))) a))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (neg.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 #s(literal 0 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (-.f64 #s(literal 0 binary64) a)))) |
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(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 a #s(literal -1/2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) |
(pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 a #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) a) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) |
(exp.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.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))) |
(fabs.f64 (+.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 #s(literal 4 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 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) (neg.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 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 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #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 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) |
(/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) (+.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c)))))) (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c)))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (neg.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b b) (*.f64 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 (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #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 b) (*.f64 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 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))))) |
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 1 binary64))) |
(/.f64 a (/.f64 b c)) |
(/.f64 (*.f64 a c) b) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (/.f64 b c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 a c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a c))) |
(/.f64 (neg.f64 (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) a) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 b c)) |
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a c))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) a)) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 (/.f64 b c))) |
(/.f64 (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(pow.f64 (/.f64 b (*.f64 a c)) #s(literal -1 binary64)) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) a)) |
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 c b) a) |
| 1× | egg-herbie |
| 8904× | *-lowering-*.f32 |
| 8904× | *-lowering-*.f64 |
| 4718× | +-lowering-+.f64 |
| 4718× | +-lowering-+.f32 |
| 1546× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 857 | 7307 |
| 1 | 2989 | 6898 |
| 0 | 9241 | 6898 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ c (pow b 2)) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(/ c (pow b 2)) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(/ c (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ -1 a) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ -1 a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ (- (/ (* a c) (pow b 2)) 1) a) |
(/ c (pow b 2)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ c (pow b 2)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(- (/ c (pow b 2)) (/ 1 a)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1/2 (/ (+ b (* -1 b)) a)) |
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a) |
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a) |
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))) |
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))) |
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))) |
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))) |
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))) |
(* -1/2 (/ (+ b (* -1 b)) a)) |
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))) |
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))) |
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))) |
(* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))) |
(* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))) |
(* -1 (/ c b)) |
(* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))) |
(* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))) |
(* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (* a c) b)) |
(* -1/2 (+ b (* -1 b))) |
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) |
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) |
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) |
(* -1 (/ (* a c) b)) |
(* a (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))) |
(* a (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))) |
(* a (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))) |
(* -1 (/ (* a c) b)) |
(* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) a)) (/ c b)))) |
(* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) a)) (/ c b)))) |
(* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) a)) (/ c b)))) |
(* -1/2 (+ b (* -1 b))) |
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) |
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) |
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) |
(* -1 (/ (* a c) b)) |
(* c (+ (* -1 (/ a b)) (* -1/2 (/ (+ b (* -1 b)) c)))) |
(* c (+ (* -1 (/ a b)) (* -1/2 (/ (+ b (* -1 b)) c)))) |
(* c (+ (* -1 (/ a b)) (* -1/2 (/ (+ b (* -1 b)) c)))) |
(* -1 (/ (* a c) b)) |
(* -1 (* c (+ (* 1/2 (/ (+ b (* -1 b)) c)) (/ a b)))) |
(* -1 (* c (+ (* 1/2 (/ (+ b (* -1 b)) c)) (/ a b)))) |
(* -1 (* c (+ (* 1/2 (/ (+ b (* -1 b)) c)) (/ a b)))) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(+ b (* -1 b)) |
(+ b (+ (* -1 b) (* 2 (/ (* a c) b)))) |
(+ b (+ (* -1 b) (* 2 (/ (* a c) b)))) |
(+ b (+ (* -1 b) (* 2 (/ (* a c) b)))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a)))) |
(* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a)))) |
(* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a))))) |
(+ b (* -1 b)) |
(+ b (+ (* -1 b) (* 2 (/ (* a c) b)))) |
(+ b (+ (* -1 b) (* 2 (/ (* a c) b)))) |
(+ b (+ (* -1 b) (* 2 (/ (* a c) b)))) |
(* 2 (/ (* a c) b)) |
(* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c)))) |
(* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c)))) |
(* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c))))) |
(* 2 (/ (* a c) b)) |
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b) |
(* -1 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 1)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 1)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 b) |
(+ (* -1 b) (* 2 (/ (* a c) b))) |
(+ (* -1 b) (* 2 (/ (* a c) b))) |
(+ (* -1 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -1 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -1 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -1 (/ b a)) (* 2 (/ c b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* a (+ (* -2 (/ c b)) (/ b a)))) |
(* -1 (* a (+ (* -2 (/ c b)) (/ b a)))) |
(* -1 (* a (+ (* -2 (/ c b)) (/ b a)))) |
(* -1 b) |
(+ (* -1 b) (* 2 (/ (* a c) b))) |
(+ (* -1 b) (* 2 (/ (* a c) b))) |
(+ (* -1 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* c (+ (* -1 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -1 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -1 (/ b c)) (* 2 (/ a b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* c (+ (* -2 (/ a b)) (/ b c)))) |
(* -1 (* c (+ (* -2 (/ a b)) (/ b c)))) |
(* -1 (* c (+ (* -2 (/ a b)) (/ b c)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ a b)) |
(* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b))) |
(* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))))))) (/ 1 b))) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ a c)) (sqrt -1)) |
(+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(* -1 (/ a b)) |
(/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b) |
(* -1 (/ b c)) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c))))) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c)))))) |
(* -1 (/ a b)) |
(+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))) |
(+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7))))))))))) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) c) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))) c) |
(* (sqrt (/ a c)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (* b c))) c))) c)) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(/ (* 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) |
| Outputs |
|---|
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 (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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (+.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (+.f64 (+.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))))) (/.f64 b a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (/.f64 b a) c))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (/.f64 b a) c))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a (*.f64 a a)))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
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(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
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(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
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(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (/.f64 c (*.f64 b b))))))) |
(* 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))))))) |
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(* 2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)) (*.f64 a c))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a (*.f64 a a)))))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a (*.f64 a a)))))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)) (*.f64 a c))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
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(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.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 a c))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(*.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 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1/2 binary64))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(*.f64 c (+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 b c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (+.f64 b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 b (/.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 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))) c)) c)) (neg.f64 c)) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(*.f64 a (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f64 a (+.f64 (/.f64 b a) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (+.f64 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) a)) a)) (-.f64 #s(literal 0 binary64) a)) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 1/2 binary64)))) |
(+ (* (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))))))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a (*.f64 a a)))))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a (*.f64 a a))))))) (*.f64 #s(literal -4 binary64) (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))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.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 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (/.f64 c (*.f64 b b))))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
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b |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* -1 (/ b a)) |
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(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
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(* (sqrt (/ a c)) (sqrt -1)) |
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(* -2 a) |
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(* -2 a) |
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(pow b 2) |
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
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(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(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 (+ (* -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 a (*.f64 c #s(literal -4 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
Compiled 39585 to 3562 computations (91% saved)
40 alts after pruning (36 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1558 | 28 | 1586 |
| Fresh | 6 | 8 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1565 | 40 | 1605 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b) (/.f64 b (-.f64 #s(literal 0 binary64) a))) | |
| 18.4% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) | |
| 25.3% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a) | |
| 10.3% | (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a) | |
| 4.0% | (/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a) | |
| 2.5% | (/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a) | |
| 57.3% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) | |
| 16.1% | (/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a) | |
| 30.0% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) | |
| 57.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) | |
| ▶ | 42.1% | (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
| 21.9% | (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) | |
| 25.1% | (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a) | |
| 30.2% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) | |
| 18.2% | (/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) (*.f64 a (*.f64 b b))) | |
| 41.7% | (/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a) | |
| 10.3% | (/.f64 c b) | |
| ✓ | 43.1% | (/.f64 b (neg.f64 a)) |
| ▶ | 42.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))) |
| ✓ | 57.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
| ▶ | 29.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| 30.7% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) | |
| ▶ | 57.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a)) |
| 30.4% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))))) | |
| ▶ | 10.4% | (/.f64 #s(literal 0 binary64) a) |
| 43.2% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 40.2% | (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a)) | |
| 31.1% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| 57.7% | (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) | |
| ✓ | 57.7% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| 30.0% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) | |
| 25.1% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) | |
| 43.0% | (*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) | |
| 43.0% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) | |
| ✓ | 42.6% | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
| 41.5% | (*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a))) | |
| 43.0% | (*.f64 b (+.f64 (*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) a))) | |
| 42.5% | (*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a))) | |
| 20.8% | (*.f64 b (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a))) | |
| 21.3% | (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) |
Compiled 1465 to 868 computations (40.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 a #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
| ✓ | cost-diff | 0 | (*.f64 a #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) |
| ✓ | cost-diff | 640 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))) |
| ✓ | cost-diff | 0 | (*.f64 a c) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a c) b) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (*.f64 a c) b) b) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 0 binary64) a) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a)) |
| 3308× | *-lowering-*.f32 |
| 3308× | *-lowering-*.f64 |
| 2216× | /-lowering-/.f32 |
| 2216× | /-lowering-/.f64 |
| 1844× | fma-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 232 |
| 1 | 77 | 227 |
| 2 | 156 | 227 |
| 3 | 379 | 227 |
| 4 | 1010 | 225 |
| 5 | 3109 | 225 |
| 6 | 6934 | 225 |
| 0 | 8232 | 225 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a)) |
1 |
(* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a) |
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
-2 |
(+ b (sqrt (+ (* b b) (* a (* -4 c))))) |
b |
(sqrt (+ (* b b) (* a (* -4 c)))) |
(+ (* b b) (* a (* -4 c))) |
(* b b) |
(* a (* -4 c)) |
a |
(* -4 c) |
-4 |
c |
(/ 0 a) |
0 |
a |
(/ (- (/ (* a c) b) b) a) |
(- (/ (* a c) b) b) |
(/ (* a c) b) |
(* a c) |
a |
c |
b |
(/ 1 (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b)))) |
1 |
(/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b))) |
(* a -2) |
a |
-2 |
(+ (* b 2) (/ (* c (* a -2)) b)) |
(* b 2) |
b |
2 |
(/ (* c (* a -2)) b) |
(* c (* a -2)) |
c |
(/ 1 (/ (* a -2) (+ b (sqrt (* a (* c -4)))))) |
1 |
(/ (* a -2) (+ b (sqrt (* a (* c -4))))) |
(* a -2) |
a |
-2 |
(+ b (sqrt (* a (* c -4)))) |
b |
(sqrt (* a (* c -4))) |
(* a (* c -4)) |
(* c -4) |
c |
-4 |
| Outputs |
|---|
(/ 1 (* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a)) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a)) |
1 |
#s(literal 1 binary64) |
(* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a) |
(/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) |
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
(/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) |
-2 |
#s(literal -2 binary64) |
(+ b (sqrt (+ (* b b) (* a (* -4 c))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) |
b |
(sqrt (+ (* b b) (* a (* -4 c)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
(+ (* b b) (* a (* -4 c))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(* b b) |
(*.f64 b b) |
(* a (* -4 c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
a |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
-4 |
#s(literal -4 binary64) |
c |
(/ 0 a) |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
a |
(/ (- (/ (* a c) b) b) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ (* a c) b) b) |
(-.f64 (/.f64 (*.f64 a c) b) b) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(* a c) |
(*.f64 a c) |
a |
c |
b |
(/ 1 (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b)))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 |
#s(literal 1 binary64) |
(/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64)))) |
(* a -2) |
(*.f64 #s(literal -2 binary64) a) |
a |
-2 |
#s(literal -2 binary64) |
(+ (* b 2) (/ (* c (* a -2)) b)) |
(+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) |
(* b 2) |
(*.f64 b #s(literal 2 binary64)) |
b |
2 |
#s(literal 2 binary64) |
(/ (* c (* a -2)) b) |
(/.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64)) |
(* c (* a -2)) |
(*.f64 #s(literal -2 binary64) (*.f64 a c)) |
c |
(/ 1 (/ (* a -2) (+ b (sqrt (* a (* c -4)))))) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 #s(literal -2 binary64) a)) |
1 |
#s(literal 1 binary64) |
(/ (* a -2) (+ b (sqrt (* a (* c -4))))) |
(/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))) |
(* a -2) |
(*.f64 #s(literal -2 binary64) a) |
a |
-2 |
#s(literal -2 binary64) |
(+ b (sqrt (* a (* c -4)))) |
(+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
b |
(sqrt (* a (* c -4))) |
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(* a (* c -4)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* c -4) |
(*.f64 #s(literal -4 binary64) c) |
c |
-4 |
#s(literal -4 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal -2 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| ✓ | accuracy | 86.9% | (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))) |
| ✓ | accuracy | 95.9% | (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) |
| ✓ | accuracy | 94.0% | (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))) |
| ✓ | accuracy | 100.0% | (*.f64 a c) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (*.f64 a c) b) b) |
| ✓ | accuracy | 95.9% | (/.f64 (*.f64 a c) b) |
| ✓ | accuracy | 94.4% | (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 0 binary64) a) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a)) |
| ✓ | accuracy | 98.7% | (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a) |
| ✓ | accuracy | 89.3% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
| ✓ | accuracy | 79.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
| 77.0ms | 27× | 2 | valid |
| 43.0ms | 125× | 0 | valid |
| 31.0ms | 97× | 0 | invalid |
| 7.0ms | 7× | 1 | valid |
Compiled 256 to 36 computations (85.9% saved)
ival-div: 39.0ms (41.9% of total)ival-mult: 37.0ms (39.7% of total)ival-add: 6.0ms (6.4% of total)ival-sqrt: 5.0ms (5.4% of total)backward-pass: 4.0ms (4.3% of total)const: 1.0ms (1.1% of total)ival-sub: 1.0ms (1.1% of total)| Inputs |
|---|
#<alt (/ 1 (* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a))> |
#<alt (* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a)> |
#<alt (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))> |
#<alt (+ b (sqrt (+ (* b b) (* a (* -4 c)))))> |
#<alt (/ 0 a)> |
#<alt (/ (- (/ (* a c) b) b) a)> |
#<alt (- (/ (* a c) b) b)> |
#<alt (/ (* a c) b)> |
#<alt (* a c)> |
#<alt (/ 1 (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b))))> |
#<alt (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b)))> |
#<alt (* a -2)> |
#<alt (+ (* b 2) (/ (* c (* a -2)) b))> |
#<alt (/ 1 (/ (* a -2) (+ b (sqrt (* a (* c -4))))))> |
#<alt (/ (* a -2) (+ b (sqrt (* a (* c -4)))))> |
#<alt (+ b (sqrt (* a (* c -4))))> |
#<alt (sqrt (+ (* b b) (* a (* -4 c))))> |
#<alt (/ (* c (* a -2)) b)> |
#<alt (sqrt (* a (* c -4)))> |
| Outputs |
|---|
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))> |
#<alt (* -1 (/ a b))> |
#<alt (/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b)> |
#<alt (* -1 (/ b c))> |
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c))))))> |
#<alt (* -1 (/ a b))> |
#<alt (* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b)))> |
#<alt (* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))))))) (/ 1 b)))> |
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ a c)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (* -1 (/ a b))> |
#<alt (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))> |
#<alt (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))> |
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)> |
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) c)> |
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))) c)> |
#<alt (* (sqrt (/ a c)) (sqrt -1))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c))) c))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (* b c))) c))) c))> |
#<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 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))> |
#<alt (/ -1 b)> |
#<alt (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)> |
#<alt (/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b)> |
#<alt (/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b)> |
#<alt (* -1 (/ b (* a c)))> |
#<alt (* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2)))))> |
#<alt (* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2)))))> |
#<alt (* -1 (* b (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 2 (* a c)))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))))))> |
#<alt (/ -1 b)> |
#<alt (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))> |
#<alt (- (* a (- (* -2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b))> |
#<alt (- (* a (- (* a (- (* -1 (* a (+ (* 4 (/ (pow c 3) (pow b 7))) (/ (pow c 3) (pow b 7))))) (* 2 (/ (pow c 2) (pow b 5))))) (/ c (pow b 3)))) (/ 1 b))> |
#<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 (/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)> |
#<alt (/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a)> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))) a))> |
#<alt (* -1 (/ (+ (* -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))) a))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* 1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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))) a))> |
#<alt (/ -1 b)> |
#<alt (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))> |
#<alt (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))> |
#<alt (- (* c (- (* c (- (* -1 (* c (+ (* 4 (/ (pow a 3) (pow b 7))) (/ (pow a 3) (pow b 7))))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))> |
#<alt (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)> |
#<alt (/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)> |
#<alt (/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c)> |
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) c))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c))) c))> |
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#<alt (* 2 b)> |
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#<alt (/ b c)> |
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#<alt (* -2 a)> |
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#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))> |
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))> |
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))> |
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))> |
#<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 (/ b (* c (pow (sqrt -4) 2)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))> |
#<alt (* (sqrt (/ a c)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -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)) (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))> |
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* (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 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))))) b)> |
#<alt (/ (+ (* -2 a) (+ (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (+ (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (* 2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))))) b)> |
#<alt (* -2 (/ a b))> |
#<alt (* -1 (/ (+ (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (* 2 a)) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) b)) (* 2 a)) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b))) (* 2 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) b)) (* 2 a)) b))> |
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))> |
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))> |
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))> |
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))> |
#<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 (* (sqrt (/ a c)) (sqrt -1))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (* b c)) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* -1/8 (/ (* (pow b 3) c) a))) c)) (* -1/2 (* b c))) c))) c))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt b> |
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))> |
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))> |
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))> |
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))> |
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* (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 (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* (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)))> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | c | @ | 0 | (/ (* a -2) (+ b (sqrt (* a (* c -4))))) |
| 2.0ms | b | @ | inf | (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
| 2.0ms | c | @ | 0 | (/ 1 (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b)))) |
| 1.0ms | a | @ | 0 | (/ 1 (/ (* a -2) (+ b (sqrt (* a (* c -4)))))) |
| 1.0ms | a | @ | -inf | (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
| 1× | batch-egg-rewrite |
| 3360× | *-lowering-*.f32 |
| 3360× | *-lowering-*.f64 |
| 3232× | /-lowering-/.f32 |
| 3232× | /-lowering-/.f64 |
| 2000× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 177 |
| 1 | 204 | 172 |
| 2 | 1714 | 167 |
| 0 | 8628 | 167 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a)) |
(* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a) |
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
(+ b (sqrt (+ (* b b) (* a (* -4 c))))) |
(/ 0 a) |
(/ (- (/ (* a c) b) b) a) |
(- (/ (* a c) b) b) |
(/ (* a c) b) |
(* a c) |
(/ 1 (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b)))) |
(/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b))) |
(* a -2) |
(+ (* b 2) (/ (* c (* a -2)) b)) |
(/ 1 (/ (* a -2) (+ b (sqrt (* a (* c -4)))))) |
(/ (* a -2) (+ b (sqrt (* a (* c -4))))) |
(+ b (sqrt (* a (* c -4)))) |
(sqrt (+ (* b b) (* a (* -4 c)))) |
(/ (* c (* a -2)) b) |
(sqrt (* a (* c -4))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 #s(literal 1 binary64) (neg.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 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)) a) |
(/.f64 (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) a))) |
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal 1 binary64)) |
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#s(literal 0 binary64) |
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(-.f64 (/.f64 (*.f64 c (/.f64 a b)) a) (/.f64 b a)) |
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(fma.f64 a (/.f64 (/.f64 c b) a) (neg.f64 (/.f64 b a))) |
(fma.f64 (*.f64 a c) (/.f64 (/.f64 #s(literal 1 binary64) b) a) (neg.f64 (/.f64 b a))) |
(fma.f64 (*.f64 c (/.f64 a b)) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b a))) |
(neg.f64 (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (-.f64 #s(literal 0 binary64) a))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 c (/.f64 a b)) b)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
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(/.f64 (*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) #s(literal 1 binary64)) a) |
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(/.f64 (-.f64 (*.f64 (*.f64 a c) a) (*.f64 (*.f64 a b) b)) (*.f64 (*.f64 a b) a)) |
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(pow.f64 (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)) #s(literal -1 binary64)) |
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(-.f64 (*.f64 c (/.f64 a b)) b) |
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(fma.f64 a (/.f64 c b) (-.f64 #s(literal 0 binary64) b)) |
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(fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) |
(fma.f64 (/.f64 c b) a (-.f64 #s(literal 0 binary64) b)) |
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(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (-.f64 (*.f64 b b) (*.f64 (*.f64 c (/.f64 a b)) (-.f64 #s(literal 0 binary64) b))))) |
(/.f64 (-.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (*.f64 b b)) (+.f64 b (*.f64 c (/.f64 a b)))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (+.f64 b (*.f64 c (/.f64 a b)))) (*.f64 (+.f64 b (*.f64 c (/.f64 a b))) (*.f64 b b))) (*.f64 (+.f64 b (*.f64 c (/.f64 a b))) (+.f64 b (*.f64 c (/.f64 a b))))) |
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(pow.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a b))) (-.f64 (/.f64 (*.f64 c (/.f64 a b)) (/.f64 b (*.f64 a c))) (*.f64 b b))) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a c))) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64))) |
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(*.f64 (/.f64 c b) a) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))) #s(literal -1 binary64))) |
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(fma.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))) |
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(*.f64 #s(literal -2 binary64) a) |
(*.f64 a #s(literal -2 binary64)) |
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
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(fabs.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)))) |
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))) |
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(/.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
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(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
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(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/2 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 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.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))))) (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 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.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))))) (sqrt.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 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) (*.f64 c (/.f64 a b)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c))) #s(literal 1 binary64))) |
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(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) b) |
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(fabs.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 #s(literal -4 binary64) c))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)) |
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(*.f64 (pow.f64 (sqrt.f64 a) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) a)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) a))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)))) |
| 1× | egg-herbie |
| 6320× | *-lowering-*.f32 |
| 6320× | *-lowering-*.f64 |
| 3654× | +-lowering-+.f64 |
| 3654× | +-lowering-+.f32 |
| 1752× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1280 | 9290 |
| 1 | 4512 | 8881 |
| 0 | 8626 | 8881 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2))))))) |
(* -1 (/ a b)) |
(/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b) |
(* -1 (/ b c)) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c))))) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c)))))) |
(* -1 (/ a b)) |
(* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b))) |
(* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))))))) (/ 1 b))) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ a c)) (sqrt -1)) |
(+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ a b)) |
(+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))) |
(+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7))))))))))) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) c) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))) c) |
(* (sqrt (/ a c)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (* b c))) c))) c)) |
(* -2 (* (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 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(/ -1 b) |
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b) |
(/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b) |
(/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b) |
(* -1 (/ b (* a c))) |
(* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 2 (* a c)))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))))))) |
(/ -1 b) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(- (* a (- (* -2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b)) |
(- (* a (- (* a (- (* -1 (* a (+ (* 4 (/ (pow c 3) (pow b 7))) (/ (pow c 3) (pow b 7))))) (* 2 (/ (pow c 2) (pow b 5))))) (/ c (pow b 3)))) (/ 1 b)) |
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(* (sqrt (/ 1 (* a c))) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))) a)) |
(* -1 (/ (+ (* -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))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* 1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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))) a)) |
(/ -1 b) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)) |
(- (* c (- (* c (- (* -1 (* c (+ (* 4 (/ (pow a 3) (pow b 7))) (/ (pow a 3) (pow b 7))))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)) |
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* (sqrt (/ 1 (* a c))) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* 1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* 1/2 (/ (* b c) a))) c))) c)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(/ (* a c) b) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(/ (* a c) b) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ b a)))) |
(* -1 b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(- (/ (* a c) b) b) |
(/ (* a c) b) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(/ (* a c) b) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(/ (* a c) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(* -1 b) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ a b)) |
(* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* a (- (* a (+ (* -1 (/ c (pow b 3))) (* -1 (/ (* a (pow c 2)) (pow b 5))))) (/ 1 b))) |
(* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 7))) (* -1 (/ (pow c 2) (pow b 5))))))) (/ 1 b))) |
(/ b c) |
(+ (/ b c) (/ (pow b 3) (* a (pow c 2)))) |
(- (+ (/ b c) (/ (pow b 5) (* (pow a 2) (pow c 3)))) (* -1 (/ (pow b 3) (* a (pow c 2))))) |
(- (+ (/ b c) (/ (pow b 7) (* (pow a 3) (pow c 4)))) (+ (* -1 (/ (pow b 3) (* a (pow c 2)))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 3)))))) |
(/ b c) |
(+ (/ b c) (/ (pow b 3) (* a (pow c 2)))) |
(+ (* -1 (/ (- (* -1 (/ (pow b 5) (* a (pow c 3)))) (/ (pow b 3) (pow c 2))) a)) (/ b c)) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow b 7) (* a (pow c 4))) (* -1 (/ (pow b 5) (pow c 3)))) a)) (/ (pow b 3) (pow c 2))) a)) (/ b c)) |
(/ b c) |
(* b (+ (/ 1 c) (/ (pow b 2) (* a (pow c 2))))) |
(* b (+ (* (pow b 2) (+ (/ 1 (* a (pow c 2))) (/ (pow b 2) (* (pow a 2) (pow c 3))))) (/ 1 c))) |
(* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) (pow c 3))) (/ (pow b 2) (* (pow a 3) (pow c 4))))) (/ 1 (* a (pow c 2))))) (/ 1 c))) |
(* -1 (/ a b)) |
(/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b) |
(/ (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1 (/ (* (pow a 4) (pow c 3)) (pow b 6)))))) b) |
(* -1 (/ a b)) |
(* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b)) |
(* -1 (/ (+ a (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4)))) b)) |
(* -1 (/ (+ a (+ (/ (* (pow a 2) c) (pow b 2)) (+ (/ (* (pow a 3) (pow c 2)) (pow b 4)) (/ (* (pow a 4) (pow c 3)) (pow b 6))))) b)) |
(* -1 (/ a b)) |
(+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* -1 (/ a b)) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))) |
(+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -1 (/ (* (pow a 4) c) (pow b 7))) (* -1 (/ (pow a 3) (pow b 5)))))))) |
(/ b c) |
(/ (+ b (/ (pow b 3) (* a c))) c) |
(/ (+ b (+ (/ (pow b 3) (* a c)) (/ (pow b 5) (* (pow a 2) (pow c 2))))) c) |
(/ (+ b (+ (/ (pow b 3) (* a c)) (+ (/ (pow b 5) (* (pow a 2) (pow c 2))) (/ (pow b 7) (* (pow a 3) (pow c 3)))))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (/ (pow b 5) (* (pow a 2) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 5) (pow a 2))) (* -1 (/ (pow b 7) (* (pow a 3) c)))) c)) (/ (pow b 3) a)) c))) c)) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* 2 (/ b c)))) |
(* c (+ (* -2 (/ a b)) (* 2 (/ b c)))) |
(* c (+ (* -2 (/ a b)) (* 2 (/ b c)))) |
(* -2 (/ (* a c) b)) |
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* 2 (/ b a)))) |
(* a (+ (* -2 (/ c b)) (* 2 (/ b a)))) |
(* a (+ (* -2 (/ c b)) (* 2 (/ b a)))) |
(* -2 (/ (* a c) b)) |
(* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(* -1/2 (/ b a)) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* -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 (/ b (* c (pow (sqrt -4) 2)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* (sqrt (/ a c)) (sqrt -1)) |
(+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* a b) c))) a)) (* (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)) (* (sqrt (/ a c)) (sqrt -1))) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* (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 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))))) b) |
(/ (+ (* -2 a) (+ (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (+ (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (* 2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))))) b) |
(* -2 (/ a b)) |
(* -1 (/ (+ (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (* 2 a)) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) b)) (* 2 a)) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b))) (* 2 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) b)) (* 2 a)) b)) |
(* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* -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) |
(* (sqrt (/ a c)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (* b c)) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* -1/8 (/ (* (pow b 3) c) a))) c)) (* -1/2 (* b c))) c))) 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 |
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))) |
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))) |
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))) |
b |
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))) |
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))) |
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (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)))))))) |
(* -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)) |
(* (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))) |
| 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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 #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 -1/4 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 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (+.f64 c (+.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (*.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 #s(literal 0 binary64) b)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a)) a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))))) (/.f64 b a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 c (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.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 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)) (neg.f64 c)) |
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 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))))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 c #s(literal -4 binary64)))))) |
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(* (sqrt (/ 1 (* a c))) (sqrt -1)) |
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(/ (+ (* -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) |
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(/ (+ (* -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) |
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(* (sqrt (/ a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c)) |
(/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (* b c)) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c b)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) (neg.f64 c)) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
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(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
b |
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) |
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) |
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) |
b |
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(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))) |
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(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))) |
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(+ b (* (sqrt (* a c)) (sqrt -4))) |
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(+ b (* (sqrt (* a c)) (sqrt -4))) |
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(+ b (* (sqrt (* a c)) (sqrt -4))) |
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(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(+ b (* (sqrt (* a c)) (sqrt -4))) |
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(+ b (* (sqrt (* a c)) (sqrt -4))) |
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(+ b (* (sqrt (* a c)) (sqrt -4))) |
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(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(*.f64 c (+.f64 (/.f64 b c) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(*.f64 c (+.f64 (/.f64 b c) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(*.f64 c (+.f64 (/.f64 b c) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 b c)) (neg.f64 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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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b)))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) (*.f64 b b)))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
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(* -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))) |
(+.f64 b (/.f64 (*.f64 (*.f64 c a) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 #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)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 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 #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)))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (+.f64 (+.f64 (*.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 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (+.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 (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 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 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))))))) (neg.f64 c)) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
Compiled 30550 to 3647 computations (88.1% saved)
50 alts after pruning (45 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1307 | 19 | 1326 |
| Fresh | 5 | 26 | 31 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1316 | 50 | 1366 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b) (/.f64 b (-.f64 #s(literal 0 binary64) a))) | |
| 18.4% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) | |
| 25.3% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a) | |
| 10.3% | (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a) | |
| 4.0% | (/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a) | |
| 2.5% | (/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a) | |
| 57.3% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) | |
| 16.1% | (/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a) | |
| 30.0% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) | |
| 30.0% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))))) | |
| ▶ | 57.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
| 43.1% | (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) | |
| 43.1% | (/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a) | |
| 25.5% | (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))))) | |
| ▶ | 22.0% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
| 25.1% | (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a) | |
| 30.2% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) | |
| 10.3% | (/.f64 c b) | |
| ✓ | 43.1% | (/.f64 b (neg.f64 a)) |
| 10.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) | |
| 17.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c))))) | |
| 17.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))) | |
| ✓ | 57.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
| ✓ | 29.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| 10.4% | (/.f64 #s(literal 1 binary64) (/.f64 b c)) | |
| 43.0% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b))) | |
| 30.7% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) | |
| 30.4% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) | |
| 30.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))) | |
| 30.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))))) | |
| 43.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)) | |
| 30.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))) a)) | |
| 24.7% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a)) | |
| 24.8% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) a)) | |
| 43.2% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 40.2% | (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a)) | |
| 31.1% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| ▶ | 57.7% | (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
| 29.9% | (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))) #s(literal -2 binary64))) | |
| ✓ | 57.7% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| 30.0% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) | |
| ▶ | 25.1% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) |
| 43.0% | (*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) | |
| 43.0% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) | |
| ✓ | 42.6% | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
| 41.5% | (*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a))) | |
| 42.5% | (*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a))) | |
| 20.8% | (*.f64 b (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a))) | |
| 21.3% | (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) | |
| ▶ | 10.4% | #s(literal 0 binary64) |
Compiled 1906 to 1149 computations (39.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
| ✓ | 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)))) (/.f64 a #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 256 | (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 512 | (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)) |
| ✓ | cost-diff | 512 | (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 1280 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a c) b) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) a) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
| 4716× | *-lowering-*.f32 |
| 4716× | *-lowering-*.f64 |
| 1734× | /-lowering-/.f32 |
| 1734× | /-lowering-/.f64 |
| 1462× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 255 |
| 1 | 100 | 253 |
| 2 | 325 | 219 |
| 3 | 2403 | 210 |
| 4 | 4658 | 210 |
| 0 | 8121 | 210 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) |
(/ 1 a) |
1 |
a |
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
-2 |
(+ b (sqrt (+ (* b b) (* a (* -4 c))))) |
b |
(sqrt (+ (* b b) (* a (* -4 c)))) |
(+ (* b b) (* a (* -4 c))) |
(* b b) |
(* a (* -4 c)) |
(* -4 c) |
-4 |
c |
0 |
(* (/ -1/2 a) (* (/ (* a c) b) 2)) |
(/ -1/2 a) |
-1/2 |
a |
(* (/ (* a c) b) 2) |
(/ (* a c) b) |
(* a c) |
c |
b |
2 |
(/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b))) |
(- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) |
(* 1 (/ a b)) |
1 |
(/ a b) |
a |
b |
(* (/ a (* c (/ a b))) 1) |
(/ a (* c (/ a b))) |
(* c (/ a b)) |
c |
(* (/ a (* c (/ a b))) (/ a b)) |
(+ (/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) (/ b (/ a -1/2))) |
(/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) |
(sqrt (+ (* b b) (* a (* -4 c)))) |
(+ (* b b) (* a (* -4 c))) |
(* b b) |
b |
(* a (* -4 c)) |
a |
(* -4 c) |
-4 |
c |
(/ a -1/2) |
-1/2 |
(/ b (/ a -1/2)) |
| Outputs |
|---|
(/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64))) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
a |
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
(/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) |
-2 |
#s(literal -2 binary64) |
(+ b (sqrt (+ (* b b) (* a (* -4 c))))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) |
b |
(sqrt (+ (* b b) (* a (* -4 c)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
(+ (* b b) (* a (* -4 c))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(* b b) |
(*.f64 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 |
0 |
#s(literal 0 binary64) |
(* (/ -1/2 a) (* (/ (* a c) b) 2)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
-1/2 |
#s(literal -1/2 binary64) |
a |
(* (/ (* a c) b) 2) |
(*.f64 c (/.f64 (*.f64 a #s(literal 2 binary64)) b)) |
(/ (* a c) b) |
(/.f64 (*.f64 a c) b) |
(* a c) |
(*.f64 a c) |
c |
b |
2 |
#s(literal 2 binary64) |
(/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) |
(-.f64 (/.f64 a b) (/.f64 b c)) |
(* 1 (/ a b)) |
(/.f64 a b) |
1 |
#s(literal 1 binary64) |
(/ a b) |
(/.f64 a b) |
a |
b |
(* (/ a (* c (/ a b))) 1) |
(/.f64 b c) |
(/ a (* c (/ a b))) |
(/.f64 b c) |
(* c (/ a b)) |
(/.f64 (*.f64 a c) b) |
c |
(* (/ a (* c (/ a b))) (/ a b)) |
(/.f64 a c) |
(+ (/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) (/ b (/ a -1/2))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64))) |
(/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))) |
(sqrt (+ (* b b) (* a (* -4 c)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
(+ (* b b) (* a (* -4 c))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* -4 c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
a |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
-4 |
#s(literal -4 binary64) |
c |
(/ a -1/2) |
(/.f64 a #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(/ b (/ a -1/2)) |
(/.f64 b (/.f64 a #s(literal -1/2 binary64))) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) |
| ✓ | accuracy | 98.4% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
| ✓ | accuracy | 77.8% | (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 64.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
| ✓ | accuracy | 92.4% | (*.f64 c (/.f64 a b)) |
| ✓ | accuracy | 82.8% | (/.f64 a (*.f64 c (/.f64 a b))) |
| ✓ | accuracy | 78.4% | (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)) |
| ✓ | accuracy | 76.1% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
| ✓ | accuracy | 100.0% | (*.f64 a c) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) |
| ✓ | accuracy | 92.5% | (/.f64 (*.f64 a c) b) |
| ✓ | accuracy | 82.9% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) |
| ✓ | accuracy | 98.4% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
| ✓ | accuracy | 97.0% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
| ✓ | accuracy | 78.5% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
| ✓ | accuracy | 64.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
| 92.0ms | 42× | 2 | valid |
| 69.0ms | 182× | 0 | valid |
| 17.0ms | 21× | 1 | valid |
| 14.0ms | 11× | 3 | valid |
Compiled 285 to 36 computations (87.4% saved)
backward-pass: 51.0ms (41.3% of total)ival-div: 29.0ms (23.5% of total)ival-mult: 26.0ms (21% of total)ival-add: 8.0ms (6.5% of total)ival-sqrt: 7.0ms (5.7% of total)ival-sub: 2.0ms (1.6% of total)const: 1.0ms (0.8% of total)| Inputs |
|---|
#<alt (/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))> |
#<alt (/ 1 a)> |
#<alt (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))> |
#<alt (+ b (sqrt (+ (* b b) (* a (* -4 c)))))> |
#<alt (* (/ -1/2 a) (* (/ (* a c) b) 2))> |
#<alt (/ -1/2 a)> |
#<alt (* (/ (* a c) b) 2)> |
#<alt (/ (* a c) b)> |
#<alt (/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b)))> |
#<alt (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1))> |
#<alt (* (/ a (* c (/ a b))) (/ a b))> |
#<alt (* (/ a (* c (/ a b))) 1)> |
#<alt (+ (/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) (/ b (/ a -1/2)))> |
#<alt (/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2))> |
#<alt (sqrt (+ (* b b) (* a (* -4 c))))> |
#<alt (+ (* b b) (* a (* -4 c)))> |
#<alt (* a c)> |
#<alt (/ a (* c (/ a b)))> |
#<alt (* c (/ a b))> |
| Outputs |
|---|
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (/ 1 a)> |
#<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 (* -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 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))> |
#<alt (/ -1 b)> |
#<alt (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)> |
#<alt (/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b)> |
#<alt (/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b)> |
#<alt (* -1 (/ b (* a c)))> |
#<alt (* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2)))))> |
#<alt (* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2)))))> |
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#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))> |
#<alt (* 1/2 (/ b a))> |
#<alt (* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (/ (+ (* -1/2 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (+ (* -1/2 (/ b a)) (/ c b))> |
#<alt (+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (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))))> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<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)> |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | -inf | (/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) |
| 2.0ms | b | @ | 0 | (* (/ a (* c (/ a b))) (/ a b)) |
| 1.0ms | a | @ | 0 | (/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b))) |
| 1.0ms | b | @ | 0 | (/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b))) |
| 1.0ms | a | @ | inf | (/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) |
| 1× | batch-egg-rewrite |
| 4402× | /-lowering-/.f32 |
| 4402× | /-lowering-/.f64 |
| 3284× | *-lowering-*.f32 |
| 3284× | *-lowering-*.f64 |
| 1914× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 181 |
| 1 | 235 | 174 |
| 2 | 2505 | 157 |
| 0 | 9197 | 157 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) |
(/ 1 a) |
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) |
(+ b (sqrt (+ (* b b) (* a (* -4 c))))) |
(* (/ -1/2 a) (* (/ (* a c) b) 2)) |
(/ -1/2 a) |
(* (/ (* a c) b) 2) |
(/ (* a c) b) |
(/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b))) |
(- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) |
(* (/ a (* c (/ a b))) (/ a b)) |
(* (/ a (* c (/ a b))) 1) |
(+ (/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) (/ b (/ a -1/2))) |
(/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) |
(sqrt (+ (* b b) (* a (* -4 c)))) |
(+ (* b b) (* a (* -4 c))) |
(* a c) |
(/ a (* c (/ a b))) |
(* c (/ a b)) |
| Outputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal 1/2 binary64)))) |
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(fma.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))) (/.f64 a b)) |
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(fma.f64 (/.f64 a b) #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) b) a (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))))) |
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(*.f64 a (/.f64 a (*.f64 (*.f64 a c) #s(literal 1 binary64)))) |
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(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) |
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) a) |
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(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))) (sqrt.f64 (+.f64 (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.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))))))) |
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(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1/2 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 1/4 binary64)) |
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(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)) |
(exp.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
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(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64))) |
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(fabs.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
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(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
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(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))) (+.f64 (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.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)))))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))))) |
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(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b (*.f64 b 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 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.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 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (-.f64 #s(literal 0 binary64) (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 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))))) |
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.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 (*.f64 b 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 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.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))) |
(*.f64 a c) |
(*.f64 c a) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a c) (*.f64 a b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))) (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))))) |
(neg.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) (*.f64 a b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) (/.f64 a c))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a c) (*.f64 a b))))) |
(/.f64 a (*.f64 a (/.f64 c b))) |
(/.f64 (/.f64 a (*.f64 a (/.f64 c b))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 a c) #s(literal 1 binary64)) (/.f64 a b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a c) (*.f64 a b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 a c) (*.f64 a b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a b) (/.f64 a c)))) |
(/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 a c) #s(literal 1 binary64))) (neg.f64 (/.f64 a b))) |
(/.f64 (/.f64 a c) (/.f64 a b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 a c)) (/.f64 a b)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) (*.f64 a (/.f64 c b))) |
(/.f64 (neg.f64 (/.f64 a c)) (neg.f64 (/.f64 a b))) |
(/.f64 (/.f64 a a) (/.f64 c b)) |
(/.f64 (/.f64 a (*.f64 a c)) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 a (/.f64 a b)) c) |
(/.f64 (/.f64 (/.f64 a c) #s(literal 1 binary64)) (/.f64 a b)) |
(/.f64 (/.f64 (/.f64 a c) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (*.f64 a (/.f64 c b))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))) (*.f64 a (/.f64 c b))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 a c))) (neg.f64 (/.f64 a b))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 a c))) (neg.f64 (neg.f64 (/.f64 a b)))) |
(/.f64 (neg.f64 (/.f64 a a)) (neg.f64 (/.f64 c b))) |
(/.f64 (neg.f64 (/.f64 a (*.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (neg.f64 (/.f64 a (/.f64 a b))) (neg.f64 c)) |
(/.f64 (neg.f64 (/.f64 (/.f64 a c) #s(literal 1 binary64))) (neg.f64 (/.f64 a b))) |
(/.f64 (neg.f64 (/.f64 (/.f64 a c) a)) (neg.f64 (/.f64 #s(literal 1 binary64) b))) |
(pow.f64 (/.f64 (*.f64 a c) (*.f64 a b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a c) (*.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 a b) (/.f64 a c)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (/.f64 c b)))) |
(*.f64 a (/.f64 b (*.f64 a c))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 c b) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 a (*.f64 a (/.f64 c b))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c b)))) |
(*.f64 (/.f64 b (*.f64 a c)) a) |
(*.f64 (/.f64 b a) (/.f64 a c)) |
(*.f64 (/.f64 a c) (/.f64 b a)) |
(*.f64 (/.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(*.f64 (/.f64 a (*.f64 a c)) b) |
(*.f64 (/.f64 a (/.f64 a b)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 (/.f64 a b) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 a c) #s(literal 1 binary64)) (/.f64 b a)) |
(*.f64 (/.f64 (/.f64 a c) a) b) |
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a c))) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 (/.f64 a c) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a c))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (*.f64 a c))))) |
(/.f64 c (/.f64 b a)) |
(/.f64 (*.f64 a c) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 a c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) b) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (neg.f64 c) (neg.f64 (/.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal 1 binary64) c) (/.f64 b a)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)))) |
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 (/.f64 b a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) c)) (neg.f64 (/.f64 b a))) |
(pow.f64 (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 b (*.f64 a c)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c b))) |
(*.f64 a (/.f64 c b)) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) c)) |
(*.f64 c (/.f64 a b)) |
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 a b) c) |
(*.f64 (/.f64 a b) (*.f64 #s(literal 1 binary64) c)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 c b) a) |
(*.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b))) |
| 1× | egg-herbie |
| 7058× | *-lowering-*.f32 |
| 7058× | *-lowering-*.f64 |
| 4836× | +-lowering-+.f64 |
| 4836× | +-lowering-+.f32 |
| 1578× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 879 | 7651 |
| 1 | 3074 | 7447 |
| 0 | 8622 | 7447 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(* -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 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(/ -1 b) |
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b) |
(/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b) |
(/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b) |
(* -1 (/ b (* a c))) |
(* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 2 (* a c)))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))))))) |
(/ -1 b) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(- (* a (- (* -2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b)) |
(- (* a (- (* a (- (* -1 (* a (+ (* 4 (/ (pow c 3) (pow b 7))) (/ (pow c 3) (pow b 7))))) (* 2 (/ (pow c 2) (pow b 5))))) (/ c (pow b 3)))) (/ 1 b)) |
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a) |
(* (sqrt (/ 1 (* a c))) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))) a)) |
(* -1 (/ (+ (* -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))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* 1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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))) a)) |
(/ -1 b) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)) |
(- (* c (- (* c (- (* -1 (* c (+ (* 4 (/ (pow a 3) (pow b 7))) (/ (pow a 3) (pow b 7))))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)) |
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) |
(* (sqrt (/ 1 (* a c))) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* 1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* 1/2 (/ (* b c) a))) c))) c)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(* 2 (/ (* a c) b)) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b c)) |
(- (/ a b) (/ b c)) |
(- (/ a b) (/ b c)) |
(- (/ a b) (/ b c)) |
(/ a b) |
(* a (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* a (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* a (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ a b) |
(* -1 (* a (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* a (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* a (- (/ b (* a c)) (/ 1 b)))) |
(/ a b) |
(/ (+ a (* -1 (/ (pow b 2) c))) b) |
(/ (+ a (* -1 (/ (pow b 2) c))) b) |
(/ (+ a (* -1 (/ (pow b 2) c))) b) |
(* -1 (/ b c)) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* -1 (/ b c)) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (/ b c)) |
(/ (- (/ (* a c) b) b) c) |
(/ (- (/ (* a c) b) b) c) |
(/ (- (/ (* a c) b) b) c) |
(/ a b) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (/ a b)) |
(/ a b) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (/ a 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) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ b 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) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))))) |
(* -1/2 (/ b a)) |
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))) |
(* 1/2 (/ b a)) |
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))) |
(* -1/2 (/ b a)) |
(/ (+ (* -1/2 b) (/ (* a c) b)) a) |
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1/2 (/ b a)) |
(+ (* -1/2 (/ b a)) (/ c b)) |
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (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)))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(/ b 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) |
(/ (* 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) |
| Outputs |
|---|
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a)))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #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 -1/2 binary64) a)))) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a)))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(*.f64 b (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (+.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))))) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))))) (/.f64 b a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 c (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (/.f64 b a) c)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (/.f64 b a) c))) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (/.f64 b a) c))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)) (neg.f64 c)) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2)))))) |
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 a c)) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) |
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b) |
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c (*.f64 b b))))) b) |
(/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c (*.f64 b b))))) b) |
(/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b) |
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(* (sqrt (/ 1 (* a c))) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) |
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(/.f64 #s(literal -1 binary64) b) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
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(- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)) |
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(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
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(/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c) |
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(* (sqrt (/ 1 (* a c))) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) c)) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
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(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
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(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
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(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* 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))))))) |
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(* 2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
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(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
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(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
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(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 #s(literal -4 binary64) (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))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.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 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (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 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))))) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
(+ b (* 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 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a 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 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a)))) (+.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a)))) (+.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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #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 a c))) |
(* -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 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (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)))) (+ (* 1/4 (* (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 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 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)) |
(* -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 #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))))) (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))))) (neg.f64 a)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 c (*.f64 a 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 a c))) |
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #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 a c))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 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 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))) (neg.f64 c)) |
(* -4 (* a c)) |
(*.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)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 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 (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #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 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 (+ (* -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 a (*.f64 c #s(literal -4 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c)) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
Compiled 54076 to 4118 computations (92.4% saved)
55 alts after pruning (49 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1910 | 14 | 1924 |
| Fresh | 5 | 35 | 40 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1919 | 55 | 1974 |
| Status | Accuracy | Program |
|---|---|---|
| 18.4% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) | |
| 25.3% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a) | |
| 4.0% | (/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a) | |
| 2.5% | (/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a) | |
| 57.3% | (/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) | |
| 16.1% | (/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a) | |
| 30.0% | (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) | |
| 18.5% | (/.f64 (/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 b a) (/.f64 a b))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) | |
| 8.3% | (/.f64 (/.f64 a b) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) | |
| 35.0% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) | |
| ✓ | 57.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
| 30.0% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) | |
| 25.1% | (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c))) | |
| 25.1% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))) | |
| 43.1% | (/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) | |
| 43.1% | (/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a) | |
| 25.5% | (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))))) | |
| 18.8% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) (/.f64 a b)) (/.f64 a b))) | |
| 17.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) a) (*.f64 (/.f64 a b) b))) | |
| 25.1% | (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a) | |
| 21.7% | (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) | |
| 30.2% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) | |
| 19.2% | (/.f64 (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (neg.f64 (/.f64 b (*.f64 a c))) a) (/.f64 a (*.f64 a (/.f64 c b))))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) | |
| 26.3% | (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 c #s(literal 2 binary64)))) b) | |
| 28.0% | (/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 a c) #s(literal 1 binary64))) | |
| 10.3% | (/.f64 c b) | |
| ✓ | 43.1% | (/.f64 b (neg.f64 a)) |
| 10.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) | |
| 17.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c))))) | |
| 17.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))) | |
| ✓ | 29.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| 10.4% | (/.f64 #s(literal 1 binary64) (/.f64 b c)) | |
| 43.0% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b))) | |
| 30.7% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) | |
| 30.4% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) | |
| 30.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))) | |
| 30.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))))) | |
| 43.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)) | |
| 30.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))) a)) | |
| 24.7% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a)) | |
| 43.2% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 40.2% | (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a)) | |
| 31.1% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) | |
| 6.7% | (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) | |
| ✓ | 57.7% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| 30.0% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) | |
| 43.0% | (*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) | |
| 43.0% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) | |
| ✓ | 42.6% | (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
| 41.5% | (*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a))) | |
| 42.5% | (*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a))) | |
| 20.8% | (*.f64 b (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a))) | |
| 57.7% | (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) a) (/.f64 b a))) | |
| 21.3% | (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) | |
| ✓ | 10.4% | #s(literal 0 binary64) |
Compiled 2539 to 1016 computations (60% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 #s(literal 0 binary64) a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b c)) |
(-.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 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 c #s(literal 2 binary64)))) b) |
(/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c))) |
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
(/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 a b) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))) |
(/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 a c) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 (/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) #s(literal -2 binary64)) a) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) a) (*.f64 (/.f64 a b) b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) (/.f64 a b)) (/.f64 a b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 b a) (/.f64 a b))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))) |
(/.f64 (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (neg.f64 (/.f64 b (*.f64 a c))) a) (/.f64 a (*.f64 a (/.f64 c b))))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) a) (/.f64 b a))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b) (/.f64 b (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64))) |
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c))))) |
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
4 calls:
| 41.0ms | b |
| 25.0ms | a |
| 24.0ms | c |
| 21.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.3% | 2 | a |
| 89.3% | 3 | b |
| 61.2% | 2 | c |
| 77.2% | 5 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 #s(literal 0 binary64) a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b c)) |
(-.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 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 c #s(literal 2 binary64)))) b) |
(/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c))) |
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
(/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 a b) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))) |
(/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 a c) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 (/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) #s(literal -2 binary64)) a) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) a) (*.f64 (/.f64 a b) b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) (/.f64 a b)) (/.f64 a b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 b a) (/.f64 a b))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))) |
(/.f64 (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (neg.f64 (/.f64 b (*.f64 a c))) a) (/.f64 a (*.f64 a (/.f64 c b))))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 20.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 #s(literal 0 binary64) a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b c)) |
(-.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 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 c #s(literal 2 binary64)))) b) |
(/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c))) |
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
(/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 a b) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))) |
(/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 a c) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 (/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) #s(literal -2 binary64)) a) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) a) (*.f64 (/.f64 a b) b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) (/.f64 a b)) (/.f64 a b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 b a) (/.f64 a b))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))) |
(/.f64 (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (neg.f64 (/.f64 b (*.f64 a c))) a) (/.f64 a (*.f64 a (/.f64 c b))))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 17.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 #s(literal 0 binary64) a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b c)) |
(-.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 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 c #s(literal 2 binary64)))) b) |
(/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c))) |
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
(/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 a b) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))) |
(/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 a c) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 (/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) #s(literal -2 binary64)) a) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) a) (*.f64 (/.f64 a b) b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) (/.f64 a b)) (/.f64 a b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 b a) (/.f64 a b))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))) |
(/.f64 (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (neg.f64 (/.f64 b (*.f64 a c))) a) (/.f64 a (*.f64 a (/.f64 c b))))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 17.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 #s(literal 0 binary64) a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b c)) |
(-.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 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b))) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 c #s(literal 2 binary64)))) b) |
(/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c))) |
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 b (+.f64 (*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b))) |
(/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a) |
(/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 a b) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))) |
(/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 a c) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 (/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) #s(literal -2 binary64)) a) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b))))) |
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) a) (*.f64 (/.f64 a b) b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) (/.f64 a b)) (/.f64 a b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a) |
(/.f64 (/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 b a) (/.f64 a b))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))) |
(/.f64 (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (neg.f64 (/.f64 b (*.f64 a c))) a) (/.f64 a (*.f64 a (/.f64 c b))))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b))))))) |
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) #s(literal -2 binary64)) a) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 #s(literal 0 binary64) a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b c)) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.5% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 #s(literal 0 binary64) a) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
| Outputs |
|---|
#s(literal 0 binary64) |
(/.f64 b (neg.f64 a)) |
3 calls:
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.1% | 1 | a |
| 43.1% | 1 | c |
| 50.8% | 2 | b |
Compiled 12 to 9 computations (25% saved)
Total -0.5b remaining (-0.9%)
Threshold costs -0.5b (-0.9%)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 #s(literal 0 binary64) a) |
(/.f64 c b) |
| Outputs |
|---|
#s(literal 0 binary64) |
3 calls:
| 27.0ms | c |
| 2.0ms | a |
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.4% | 1 | c |
| 10.4% | 1 | a |
| 10.4% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.0001948715872085e+89 | 1.8747802539514616e+90 |
| 45.0ms | -1.2034358826588999e-55 | -2.9919832728519038e-68 |
| 20.0ms | 31× | 2 | valid |
| 18.0ms | 186× | 0 | valid |
| 7.0ms | 39× | 1 | valid |
| 3.0ms | 34× | 0 | invalid |
Compiled 502 to 355 computations (29.3% saved)
ival-sqrt: 14.0ms (39.2% of total)ival-mult: 11.0ms (30.8% of total)ival-sub: 4.0ms (11.2% of total)ival-div: 3.0ms (8.4% of total)ival-neg: 2.0ms (5.6% of total)backward-pass: 1.0ms (2.8% of total)const: 1.0ms (2.8% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 56.0ms | 3.0001948715872085e+89 | 1.8747802539514616e+90 |
| 36.0ms | -1.2034358826588999e-55 | -2.9919832728519038e-68 |
| 62.0ms | 194× | 0 | valid |
| 9.0ms | 27× | 2 | valid |
| 7.0ms | 35× | 1 | valid |
| 3.0ms | 32× | 0 | invalid |
Compiled 502 to 355 computations (29.3% saved)
ival-sqrt: 47.0ms (68.7% of total)ival-mult: 11.0ms (16.1% of total)ival-sub: 4.0ms (5.8% of total)ival-div: 3.0ms (4.4% of total)ival-neg: 2.0ms (2.9% of total)backward-pass: 1.0ms (1.5% of total)const: 1.0ms (1.5% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.1112890191083948e-154 | 1.9861868078605932e-122 |
| 37.0ms | -1.2034358826588999e-55 | -2.9919832728519038e-68 |
| 32.0ms | 266× | 0 | valid |
| 10.0ms | 41× | 1 | valid |
| 8.0ms | 29× | 2 | valid |
| 8.0ms | 86× | 0 | invalid |
Compiled 573 to 418 computations (27.1% saved)
ival-mult: 14.0ms (41.7% of total)ival-div: 5.0ms (14.9% of total)ival-sub: 5.0ms (14.9% of total)ival-sqrt: 4.0ms (11.9% of total)ival-neg: 3.0ms (8.9% of total)const: 1.0ms (3% of total)backward-pass: 1.0ms (3% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 1.1112890191083948e-154 | 1.9861868078605932e-122 |
| 40.0ms | -1.2034358826588999e-55 | -2.9919832728519038e-68 |
| 30.0ms | 266× | 0 | valid |
| 10.0ms | 112× | 0 | invalid |
| 9.0ms | 30× | 2 | valid |
| 8.0ms | 40× | 1 | valid |
Compiled 573 to 418 computations (27.1% saved)
ival-mult: 20.0ms (50.9% of total)ival-sub: 5.0ms (12.7% of total)ival-div: 4.0ms (10.2% of total)ival-sqrt: 4.0ms (10.2% of total)ival-neg: 3.0ms (7.6% of total)const: 1.0ms (2.5% of total)backward-pass: 1.0ms (2.5% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 76.0ms | -1.208395970855322e-306 | 3.879303775866811e-285 |
| 36.0ms | 176× | 0 | valid |
| 31.0ms | 113× | 0 | invalid |
Compiled 246 to 173 computations (29.7% saved)
ival-div: 22.0ms (59.7% of total)ival-mult: 8.0ms (21.7% of total)ival-sub: 3.0ms (8.1% of total)ival-sqrt: 2.0ms (5.4% of total)ival-neg: 2.0ms (5.4% of total)const: 1.0ms (2.7% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | -1.208395970855322e-306 | 3.879303775866811e-285 |
| 16.0ms | 176× | 0 | valid |
| 13.0ms | 114× | 0 | invalid |
Compiled 213 to 162 computations (23.9% saved)
ival-mult: 8.0ms (41.3% of total)ival-sub: 5.0ms (25.8% of total)ival-div: 2.0ms (10.3% of total)ival-sqrt: 2.0ms (10.3% of total)ival-neg: 2.0ms (10.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | -1.2380685921895753e-40 | -2.888670089763854e-54 |
| 11.0ms | 46× | 1 | valid |
| 10.0ms | 34× | 2 | valid |
| 8.0ms | 80× | 0 | valid |
| 3.0ms | 32× | 0 | invalid |
Compiled 156 to 129 computations (17.3% saved)
ival-mult: 10.0ms (46.3% of total)ival-sub: 3.0ms (13.9% of total)ival-div: 2.0ms (9.3% of total)backward-pass: 2.0ms (9.3% of total)ival-neg: 2.0ms (9.3% of total)ival-sqrt: 2.0ms (9.3% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 24× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 10× | neg-mul-1_binary64 |
| 8× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 169 |
| 1 | 91 | 169 |
| 2 | 103 | 169 |
| 3 | 111 | 169 |
| 4 | 116 | 169 |
| 5 | 118 | 169 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -4749284910124297/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1850000000000000011496446418389003202841770302252642438935728115047731205417969550543028224 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -7114265962740707/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 680000000000000036009866962340082522413267367706013548764842814190841159984472255885213696 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -2223208113356471/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 441917944371729/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -5809983869571577/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7256757823367339/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 b (neg.f64 a))) |
(if (<=.f64 b #s(literal -4421431253412705/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a))) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -4749284910124297/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1850000000000000011496446418389003202841770302252642438935728115047731205417969550543028224 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -7114265962740707/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 680000000000000036009866962340082522413267367706013548764842814190841159984472255885213696 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -2223208113356471/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 441917944371729/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -5809983869571577/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7256757823367339/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 b (neg.f64 a))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (<=.f64 b #s(literal -4421431253412705/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a))) |
(if (<=.f64 b #s(literal -4421431253412705/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
#s(literal 0 binary64) |
| 8904× | *-lowering-*.f32 |
| 8904× | *-lowering-*.f64 |
| 6468× | *-lowering-*.f32 |
| 6468× | *-lowering-*.f64 |
| 4718× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 857 | 7307 |
| 1 | 2989 | 6898 |
| 0 | 9241 | 6898 |
| 0 | 13 | 56 |
| 1 | 66 | 56 |
| 2 | 540 | 56 |
| 3 | 6544 | 56 |
| 0 | 8057 | 56 |
| 0 | 14 | 16 |
| 1 | 38 | 16 |
| 2 | 100 | 16 |
| 3 | 269 | 15 |
| 4 | 493 | 15 |
| 5 | 1002 | 15 |
| 6 | 3154 | 15 |
| 7 | 5807 | 15 |
| 8 | 6441 | 15 |
| 9 | 7371 | 15 |
| 10 | 7536 | 15 |
| 11 | 7576 | 15 |
| 12 | 7582 | 15 |
| 0 | 7582 | 15 |
| 0 | 610 | 3728 |
| 1 | 2115 | 3618 |
| 2 | 7557 | 3606 |
| 0 | 8211 | 3606 |
| 0 | 35 | 177 |
| 1 | 204 | 172 |
| 2 | 1714 | 167 |
| 0 | 8628 | 167 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 485 to 298 computations (38.6% saved)
Compiled 490 to 204 computations (58.4% saved)
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